Monique is reading a book. The table shows how the number of pages remaining in the book is changing over time.
READING A BOOK
Time (hours) Number of Pages Remaining
0 360
1 320
2 280
3 240
4 200
Which equation describes the relationship between t, the time in hours, and N, the number of pages remaining in the book?
A.
N = -40t - 360
B.
N = -40t + 360
C.
N = -40t + 360
D.
N = -40t - 360
C. N = -40t + 360
Terrence created a scatter plot to represent the total number of goals scored by each player on his soccer team in a season and the number of hours the player spent at soccer practice.
The scatter plot has 10 data points. The x-values of the data points extend from 10 to 90, and the y-values of the data points extend from 0 to 35.
Which graph shows the line of best fit for the data in Terrence's scatter plot?
A.
The scatter plot has 10 data points. The x-values of the data points extend from 10 to 90, and the y-values of the data points extend from 0 to 35. A line is line passing through the points (26, 30) and (45, 22).
B.
The scatter plot has 10 data points. The x-values of the data points extend from 10 to 90, and the y-values of the data points extend from 0 to 35. A line is line passing through the points (10, 0), (59, 26) and (70, 32).
C.
The scatter plot has 10 data points. The x-values of the data points extend from 10 to 90, and the y-values of the data points extend from 0 to 35. A line is line passing through the points (55, 26) and (59, 26).
D.
The scatter plot has 10 data points. The x-values of the data points extend from 10 to 90, and the y-values of the data points extend from 0 to 35. A line is line passing through the points (25, 16) and (55, 26).
A. The scatter plot has 10 data points. The x-values of the data points extend from 10 to 90, and the y-values of the data points extend from 0 to 35. A line is line passing through the points (26, 30) and (45, 22).
Which choice BEST describes the relationship between the variables shown in the graph below?
A scatter plot is shown with 20 data points showing a strong positive relationship. The x-values of the data points extend from 0 to 9, and the y-values of the data points extend from 80 to 10.
A.
People who completed more years of college generally made less money than those who completed fewer years of college.
B.
There is no relationship between college completion and income.
C.
The annual income is the same regardless of the number of years of college completed.
D.
People who made more money generally completed more years of college than those who made less money.
D.
People who made more money generally completed more years of college than those who made less money.
The scatter plot below shows how the number of posters sold each day at a museum is related to the cost per poster.
The museum manager drew the line of best fit on the scatter plot. Which statement best interprets the meaning of the y-intercept of the line of best fit?
A.
For each $1 increase in the price of the posters, about 1 fewer poster is sold.
B.
If the posters cost $40 each, the number sold is about 0.
C.
For each $1 increase in the price of the posters, about 1 more poster is sold.
D.
If the posters are free, about 40 posters are given away.
B.
If the posters cost $40 each, the number sold is about 0.
Xavior took a total of 124 quarters and dimes to trade in for cash at the bank. He got exactly $25 back. How many quarters did he have?
A.
40
B.
62
C.
84
D.
100
Let x be the number of quarters and y be the number of dimes.
From the problem, we know that:
x + y = 124 (Equation 1)
0.25x + 0.10y = 25 (Equation 2)
Simplifying Equation 1, we get:
y = 124 - x
Substituting the value of y into Equation 2, we get:
0.25x + 0.10(124 - x) = 25
0.25x + 12.4 - 0.10x = 25
0.15x + 12.4 = 25
0.15x = 12.6
x = 84
Therefore, Xavior had 84 quarters.
The correct answer is C. 84.