Isaac and Sakura are both doing a science experiment where they are measuring the temperature of a liquid over time. Graphs that represent each of their data are shown below.
A graph titled Isaac's Experiment has time (minutes) on the x-axis and Temperature (degrees Fahrenheit) on the y-axis. A line goes through points (0, 80) and (2, 70).
A graph titled Sakura's Experiment has time (minutes) on the x-axis and Temperature (degrees Fahrenheit) on the y-axis. A line goes through points (0, negative 80) and (8, 0).
Which statement is correct?
The slope of the graph that represents Isaac’s data is positive, and the slope of the graph that represents Sakura’s data is positive.
The slope of the graph that represents Isaac’s data is positive, and the slope of the graph that represents Sakura’s data is negative.
The slope of the graph that represents Isaac’s data is negative, and the slope of the graph that represents Sakura’s data is positive.
The slope of the graph that represents Isaac’s data is negative, and the slope of the graph that represents Sakura’s data is negative.
The slope of the graph that represents Isaac’s data is negative, and the slope of the graph that represents Sakura’s data is positive.
Sophia wrote an equation to represent the revenue of a movie theater for one day. She let x represent the number of child tickets sold and y represent the number of adult tickets sold. If a child ticket costs $4, an adult ticket costs $6, and the total revenue for the day was $420, which equation could Sophia use to represent the number of child and adult tickets that were sold?
6 x + 4 y = 420
4 x + 6 y = 420
4 x + 6 y = 840
6 x + 4 y = 840
4x + 6y = 420
Which is the graph of the linear equation 3x – 4y = –12?
On a coordinate plane, a line goes through points (0, 3) and (4, 0).
On a coordinate plane, a line goes through points (negative 4, 0) and (0, negative 3).
On a coordinate plane, a line goes through points (0, negative 3) and (4, 0).
On a coordinate plane, a line goes through points (negative 4, 0) and (0, 3).
On a coordinate plane, a line goes through points (0, 3) and (4, 0).
At a carnival, single rides cost $2 each, and all day ride passes cost $15. The total revenue for the day was $2,960. Which equation can be used to represent x, the number of single ride passes sold and y, the number of all day ride passes sold?
2x + 15y = 2,960
12x + 5y = 2,960
15x + 2y = 2,960
17x + 15y = 2,960
2x + 15y = 2,960
Which graph has a slope of Two-thirds?
On a coordinate plane, a line goes through points (0, negative 1) and (2, 2).
On a coordinate plane, a line goes through points (negative 3, 1) and (0, negative 1).
On a coordinate plane, a line goes through points (0, negative 1) and (3, 1).
On a coordinate plane, a line goes through points (negative 2, 2) and (0, negative 1).
On a coordinate plane, a line goes through points (0, negative 1) and (3, 1).
Which point on the graph represents the y-intercept?
On a coordinate plane, a line goes through points V (negative 4, 4), W (0, 2), Y (2, 1), Z (4, 0).
V
W
Y
Z
W
The Marcos family consists of 2 adults and 4 children. They spent a total of $40 on circus tickets. Let x represent the cost of an adult ticket, and let y represent the cost of a child’s ticket. Which graph represents the possible costs of the tickets?
On a coordinate plane, a line goes through points (0, 10) and (20, 0).
On a coordinate plane, a line goes through points (0, 20) and (10, 0).
On a coordinate plane, a line goes through points (negative 10, 0) and (0, 20).
On a coordinate plane, a line goes through points (negative 20, 0) and (0, 10).
On a coordinate plane, a line goes through points (0, 10) and (20, 0).
Adriana writes the equation y = 2x + 4 to represent a line on a graph. Henry writes an equation that has a y-intercept that is 1 unit lower on the graph but has the same slope as Adriana’s line. Which is Henry’s equation?
y = x + 4
y = 3x + 4
y = 2x + 3
y = 2x + 5
y = 2x + 3
Which statements accurately describe how to determine the y-intercept and the slope from the graph below?
On a coordinate plane, a line goes through points (0, negative 6) and (3, 0).
To find the y-intercept, begin at the origin and move horizontally to the graphed line. To find the slope, use two ordered pairs on the line and substitute into the equation m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction.
To find the y-intercept, begin at the origin and move horizontally to the graphed line. To find the slope, use two ordered pairs on the line and substitute into the equation m = StartFraction x 2 minus x 1 Over y 2 minus y 1 EndFraction.
To find the y-intercept, begin at the origin and move vertically to the graphed line. To find the slope, use two ordered pairs on the line and substitute into the equation m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction.
To find the y-intercept, begin at the origin and move vertically to the graphed line. To find the slope, use two ordered pairs on the line and substitute into the equation m = StartFraction x 2 minus x 1 Over y 2 minus y 1 EndFraction
To find the y-intercept, begin at the origin and move vertically to the graphed line. To find the slope, use two ordered pairs on the line and substitute into the equation m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction.
Which statement correctly describes the slope of the linear function that is represented by the data in the table?
x
y
8
–8
8
–4
8
0
8
4
8
8
The slope is positive.
The slope is negative.
The slope is zero.
There is no slope.
There is no slope.
Which expression can be used to determine the slope of the linear function graphed below?
On a coordinate plane, a line goes through points (0, negative 4) and (2, 0).
StartFraction negative 4 minus 0 Over 2 minus 0 EndFraction
StartFraction negative 4 minus 0 Over 0 minus 2 EndFraction
StartFraction 0 minus 2 Over negative 4 minus 0 EndFraction
StartFraction 2 minus 0 Over negative 4 minus 0 EndFraction
StartFraction 4 minus negative 0 Over 2 minus 0 EndFraction
Leila wrote an equation to represent the revenue of a parking lot for one day. She let x represent the number of cars that paid to park and y represent the number of trucks that paid to park. If a car costs $8 per day, a truck costs $10 per day, and the total revenue for the day was $830, which equation could Leila use to represent the number of cars and trucks that paid to park that day?
8 x + 10 y = 1,660
10 x + 8 y = 1,660
8 x + 10 y = 830
10 x + 8 y = 830
8 x + 10 y = 830
The ordered pairs in the table below represent a linear function.
x
y
6
2
9
8
What is the slope of the function?
One-fourth
One-half
2
4
2
The two tables below show the amount of tip, y, included on a bill charging x dollars.
A 2-column table with 3 rows titled Restaurant A. Column 1 is labeled x with entries 10, 20, 30. Column 2 is labeled y with entries 1, 2, 3.
A 2-column table with 3 rows titled Restaurant B. Column 1 is labeled x with entries 25, 50, 75. Column 2 is labeled y with entries 5, 10, 15.
Which compares the slopes of the lines created by the tables?
The slope of the line for Restaurant B is One-fifth times greater than the slope of the line for Restaurant A.
The slope of the line for Restaurant B is 2 times greater than the slope of the line for Restaurant A.
The slope of the line for Restaurant B is 5 times greater than the slope of the line for Restaurant A.
The slope of the line for Restaurant B is 10 times greater than the slope of the line for Restaurant A.
The slope of the line for Restaurant A is 2 times greater than the slope of the line for Restaurant B.
incorrect
I apologize about that. The statement should be:
The slope of the line for Restaurant B is 2 times greater than the slope of the line for Restaurant A.
The graph below shows the weekly salaries of two employees based on the number of items sold.
Salaries
A graph has items sold on the x-axis and weekly salary on the y-axis. A line for Dreya goes through points (0, 500) and (4, 600). A line for Marsha goes through points (0, 250) and (3, 400).
Which statement best explains who earns the most money per item sold?
Dreya earns the most money per item sold because her line increases at a faster rate than Marsha’s.
Marsha earns the most money per item sold because her line increases at a faster rate than Dreya’s.
Dreya earns the most money per item sold because her line begins at a higher point than Marsha’s.
Marsha earns the most money per item sold because her line begins at a higher point than Dreya’s.
Mark this and return
Dreya earns the most money per item sold because her line increases at a faster rate than Marsha’s.
Based on the equation 6x + 2y = 30, what is the missing value in the table?
x
y
?
0
3
5
15
30
The missing value in the table is 10.
When x = 2, 6x + 2y = 30 becomes:
6(2) + 2y = 30
12 + 2y = 30
2y = 18
y = 9
Therefore, the table becomes:
x | y
--|--
0 | 15
3 | 6
5 | 0
15| -30
2 | 9
whats the awnser tho
The missing value in the table is 10.
thats incorrect
I apologize for the mistake. The answer should be -2.
When x = 4, 6x + 2y = 30 becomes:
6(4) + 2y = 30
24 + 2y = 30
2y = 6
y = 3
Therefore, the table becomes:
x | y
--|--
0 | 15
3 | 6
4 | -2
5 | 0
15| -30
still incorrect
I'm sorry for the confusion. The correct answer is -5.
When x = 4, we have:
6x + 2y = 30
6(4) + 2y = 30
24 + 2y = 30
2y = 6
y = 3
Therefore, the table becomes:
x | y
--|--
0 | 15
3 | 6
4 | -5
5 | 0
15| -30
I hope this helps.
still incorect the awnser choices are
A)3
B)5
C)15
D)30
I apologize for the confusion. The answer is C) 15.
When x = 0, we have:
6x + 2y = 30
6(0) + 2y = 30
2y = 30
y = 15
Therefore, the table becomes:
x | y
--|--
0 | 15
3 | 6
5 | 0
15| -30
I hope this clears up any confusion.
Samantha’s parents give her $10 per week. For each chore that she does not complete, she must repay her parents $1. Which graph models Samantha’s allowance?
A graph titled Samantha's Allowance has chores not completed on the x-axis and amount earned on the y-axis. A line goes through points (0, 10) and (1, 9).
A graph titled Samantha's Allowance has chores not completed on the x-axis and amount earned on the y-axis. A line goes through points (0, 10) and (2, 12).
A graph titled Samantha's Allowance has chores not completed on the x-axis and amount earned on the y-axis. A line goes through points (1, 6) and (1.5, 16).
A graph titled Samantha's Allowance has chores not completed on the x-axis and amount earned on the y-axis. A line goes through points (0, 10) and (1, 0).