AnswersFL-1200330-Algebra 2 AFunction Inverses

Rate of Change Answers

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1
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Calculate the average rate of change of a function over a specified interval. Which expression can be used to determine the average rate of change in f(x) over the interval ?

Question illustration
A
f(9 – 2)
B
f(9) – f(2)
C
StartFraction f (9 minus 2) Over 9 minus 2 EndFraction
Option C
D
StartFraction f (9) minus f (2) Over 9 minus 2 EndFraction
Option D
2
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The graph shows the distance a ball has traveled x seconds after it was thrown. What is the average speed between 2 seconds and 8 seconds.

Question illustration
A
0.5 meters per second
B
0.8 meters per second
C
2 meters per second
D
3 meters per second
3

If y varies directly as x, and y is 6 when x is 72, what is the value of y when x is 8?

A
y = one-ninth
Option A
B
y = two-thirds
Option B
C
54
D
96
4

The cost of soup, s, varies directly with the number of cans, c. When c is 4, the cost is $3. Which graph represents the cost of the soup?

A
On a graph, the x-axis shows the number of cans, from 0 to 10, and the y-axis shows the cost of soup, from 0 to 10. A curve opens up to the right and approaches the x-axis and the y-axis. The vertex is around (1, 1).
Option A
B
On a graph, the x-axis shows the number of cans, from 0 to 10, and the y-axis shows the cost of soup, from 0 to 10. A straight line has a positive slope and goes through (0, 0), (3, 4), and (6, 8).
Option B
C
On a graph, the x-axis shows the number of cans, from 0 to 10, and the y-axis shows the cost of soup, from 0 to 10. A straight line has a positive slope and goes through (0, 0), (4, 3), and (8, 6).
Option C
D
On a graph, the x-axis shows the number of cans, from 0 to 10, and the y-axis shows the cost of soup, from 0 to 10. A curve starts at (0, 0) and opens up to the left. The curve goes through (4, 3) and (5, 6).
Option D
5

T(d) is a function that relates the number of tickets sold for a movie to the number of days since the movie was released. The average rate of change in T(d) for the interval d = 4 and d = 10 is 0. Which statement must be true?

A
The same number of tickets was sold on the fourth day and tenth day.
B
No tickets were sold on the fourth day and tenth day.
C
Fewer tickets were sold on the fourth day than on the tenth day.
D
More tickets were sold on the fourth day than on the tenth day.
6

If y varies directly as x, and y is 48 when x is 6, which expression can be used to find the value of y when x is 2?

A
y = StartFraction 48 Over 6 EndFraction (2)
Option A
B
y = StartFraction 6 Over 48 EndFraction (2)
Option B
C
y = StartFraction (48) (6) Over 2 EndFraction
Option C
D
y = StartFraction 2 Over (48) (6) EndFraction
Option D
7

If y varies directly as x, and y is 20 when x is 4, what is the constant of variation for this relation?

A
One-fifth
Option A
B
Four-fifths
Option B
C
5
D
16
8

Which relation is a direct variation that contains the ordered pair (2, 7)?

A
y = 4x – 1
B
y = StartFraction 7 Over x EndFraction
Option B
C
y = two-sevenths x
Option C
D
y = seven-halves x
Option D
9

If y varies directly as x, and y is 18 when x is 5, which expression can be used to find the value of y when x is 11?

A
y = StartFraction 5 Over 18 EndFraction (11)
Option A
B
y = StartFraction 18 Over 5 EndFraction (11)
Option B
C
y = StartFraction (18) (5) Over 11 EndFraction
Option C
D
y = StartFraction 11 Over (18) (5) EndFraction
Option D
10

If y varies directly as x, and y is 180 when x is n and y is n when x is 5, what is the value of n?

A
6
B
18
C
30
D
36

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