The estimated total cost, y, of a child’s toy is partially based on the number of batteries used, x. The cost of one battery is $0.75. The toy itself costs $12. Which equation represents the situation?
y = 12x + 0.75
y = 0.75x + 12
y = 12x – 0.75
y = 0.75x – 12
y = 0.75x + 12
Ava wrote the expression StartFraction 4 minus 2 Over 3 minus 1 EndFraction to determine the slope of a line. Which table might represent Ava’s line?
A 2-column table with 2 rows. Column 1 is labeled x with entries 4, 3. Column 2 is labeled y with entries 2, 1.
A 2-column table with 2 rows. Column 1 is labeled x with entries 3, negative 1. Column 2 is labeled y with entries 4, negative 2.
A 2-column table with 2 rows. Column 1 is labeled x with entries 1, 3. Column 2 is labeled y with entries 2, 4.
A 2-column table with 2 rows. Column 1 is labeled x with entries 4, 2. Column 2 is labeled y with entries 3, 1.
A 2-column table with 2 rows. Column 1 is labeled x with entries 4, 3. Column 2 is labeled y with entries 2, 1.
Four students drew graphs of a linear function. Which student drew a line with a slope of 3?
Analise
On a coordinate plane, a line goes through points (negative 3, 0) and (0, 1).
Benito
On a coordinate plane, a line goes through points (0, negative 1) and (1, 2).
Charlie
On a coordinate plane, a line goes through points (0, negative 3) and (0, 3).
Dariya
On a coordinate plane, a line goes through points (2, 3) and (3, 0).
Analise
Benito
Charlie
Dariya
Benito
The ordered pairs in the table below represent a linear function.
x
y
2
3
5
9
What is the slope of the function?
One-fourth
One-half
2
4
2
What is the slope and the y-intercept of the line on the graph below?
On a coordinate plane, a line goes through points (0, 1) and (4, 0).
slope = –4, y-intercept = 1
slope = –4, y-intercept = 4
slope = Negative one-fourth, y-intercept = 1
slope = Negative one-fourth, y-intercept = 4
slope = Negative one-fourth, y-intercept = 1
What is the slope of the line in the graph?
On a coordinate plane, a line goes through points (negative 2, negative 1) and (0, 1).
2/2 or 1
The lines on the graph below represent the cost of apples at four different stores.
A graph titled Cost of Apples has pounds of apples on the x-axis and total cost in dollars on the y-axis. Line A goes through points (0, 0) and (4, 3). Line B goes through points (0, 0) and (4, 4). Line C goes through points (0, 0) and (4, 5). Line D goes through points (0, 0) and (4, 8).
At which store is the cost of apples the least?
A
B
C
D
A
Mia records the distance traveled in x minutes in the table below, while Alexa uses a graph to record her distance traveled over the same time period.
Alexa’s Graph
A graph has time (minutes) on the x-axis and Distance traveled (miles) on the y-axis. A line goes through points (4, 3) and (8, 6).
Mia’s Table
A 2-column table with 4 rows. Column 1 is labeled Time (minutes) with entries 10, 18, 20, 26. Column 2 is labeled Distance Traveled (miles) with entries 5, 9, 10, 13.
Based on the data on the graph and in the table, which statement gives an accurate comparison?
Alexa traveled at a faster rate because the slope of her line is Three-fourths, which is greater than the slope of the line described by the data in Mia’s table.
Alexa traveled at a faster rate because the slope of her line is Four-thirds, which is greater than the slope of the line described by the data in Mia’s table.
Mia traveled at a faster rate because the slope of the line described by the data in her table is One-half, which is greater than the slope of the line on Alexa’s graph.
Mia traveled at a faster rate because the slope of the line described by the data in her table is StartFraction 2 Over 1 EndFraction, which is greater than the slope of the line on Alexa’s graph.
Alexa traveled at a faster rate because the slope of her line is Three-fourths, which is greater than the slope of the line described by the data in Mia’s table.
Bianca graphed her weight and height over the past several years.
A graph titled Bianca's Height and Weight has weight in pounds on the x-axis and height in inches on the y-axis. A vertical line is at x = 130.
Which describes the slope of the line on Bianca’s graph?
Its slope is positive.
Its slope is negative.
Its slope is zero.
It has no slope.
It has no slope. (A vertical line has undefined slope)
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).
Marisol attempted to determine the slope of a line based on the two points shown in the table below.
x
y
–1
4
3
10
Step 1: (–1, 4) and (3, 10)
Step 2: StartFraction 10 minus 3 Over 4 minus (negative 1) EndFraction
Step 3: StartFraction 7 Over 5 EndFraction
Which statement best explains Marisol’s error?
Marisol computed StartFraction y 2 minus y 1 Over x 1 minus x 2 EndFraction.
Marisol computed StartFraction x 2 minus x 1 Over y 2 minus y 1 EndFraction.
Marisol computed StartFraction y 2 minus x 2 Over y 1 minus x 1 EndFraction.
Marisol computed StartFraction x 2 minus y 2 Over x 1 minus y 1 EndFraction.
Marisol computed StartFraction y 2 minus y 1 Over x 1 minus x 2 EndFraction.
(The formulas that Marisol used are incorrect, it should have been y2 - y1 / x2 - x1, instead of y2 - x2 / y1 - x1)
A line passes through the points (7, 10) and (7, 20). Which statement is true about the line?
It has a slope of zero because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the numerator of a fraction cannot be zero.
It has a slope of zero because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the denominator of a fraction cannot be zero.
It has no slope because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the numerator of a fraction cannot be zero.
It has no slope because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the denominator of a fraction cannot be zero.
It has no slope because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the denominator of a fraction cannot be zero.
In the table, x represents minutes, and y represents the altitude of an airplane.
Altitude of an Airplane
Minutes, x
Altitude in feet, y
15
22,500
20
20,000
25
17,500
30
15,000
Which statement is correct about the slope of the linear function that the table represents?
The slope is positive because as the minutes decrease, the altitude increases.
The slope is positive because as the minutes increase, the altitude increases.
The slope is negative because as the minutes decrease, the altitude decreases.
The slope is negative because as the minutes increase, the altitude decreases.
The slope is negative because as the minutes increase, the altitude decreases.
Eric earns a weekly salary and a commission on each item that he sells. The equation y = 10x + 50 represents the amount of money that Eric earns weekly. Bailey earns a greater weekly salary than Eric but the same commission rate. Which graph could represent the amount of money that Bailey earns weekly, y, based on the number of items sold, x?
A graph titled Bailey's Weekly Earnings has items sold on the x-axis and total earned on the y-axis. A line goes through points (0, 75), (5, 125), (10, 175).
A graph titled Bailey's Weekly Earnings has items sold on the x-axis and total earned on the y-axis. A line goes through points (0, 50), (1, 75), (2, 100).
A graph titled Bailey's Weekly Earnings has items sold on the x-axis and total earned on the y-axis. A line goes through points (0, 75), (1, 100), (2, 125).
A graph titled Bailey's Weekly Earnings has items sold on the x-axis and total earned on the y-axis. A line goes through points (0, 50), (5, 100), (10, 150).
awnser
A graph titled Bailey's Weekly Earnings has items sold on the x-axis and total earned on the y-axis. A line goes through points (0, 75), (1, 100), (2, 125).
Which expression can be used to determine the slope of the linear function represented in the table?
x
y
0
5
4
9
StartFraction 9 minus 5 Over 4 minus 0 EndFraction
StartFraction 4 minus 0 Over 9 minus 5 EndFraction
StartFraction 5 minus 0 Over 9 minus 4 EndFraction
StartFraction 9 minus 4 Over 5 minus 0 EndFraction
StartFraction 9 minus 5 Over 4 minus 0 EndFraction
Which graph has a slope of Two-thirds?
A)On a coordinate plane, a line goes through points (0, negative 1) and (2, 2).
B)On a coordinate plane, a line goes through points (negative 3, 1) and (0, negative 1).
C)On a coordinate plane, a line goes through points (0, negative 1) and (3, 1).
D)On a coordinate plane, a line goes through points (negative 2, 2) and (0, negative 1).