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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?

The same number of tickets was sold on the fourth day and tenth day.

No tickets were sold on the fourth day and tenth day.

Fewer tickets were sold on the fourth day than on the tenth day.

More tickets were sold on the fourth day than on the tenth day.

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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?

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).

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).

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).

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).

What is the average rate of change in f(x) over the interval [4,13]?

One-third

Four-thirteenths

Eleven-thirteenths

Eleven-eighths

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?

y = StartFraction 48 Over 6 EndFraction (2)

y = StartFraction 6 Over 48 EndFraction (2)

y = StartFraction (48) (6) Over 2 EndFraction

y = StartFraction 2 Over (48) (6) EndFraction

The average rate of change of g(x) between x = 4 and x = 7 is . Which statement must be true?

g (7) minus g (4) = five-sixths

StartFraction g (7 minus 4) Over 7 minus 4 EndFraction = five-sixths

StartFraction g (7) minus g (4) Over 7 minus 4 EndFraction = five-sixths

StartFraction g (7) Over g (4) EndFraction = five-sixths

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

y = one-ninth

y = two-thirds

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?

y = StartFraction 5 Over 18 EndFraction (11)

y = StartFraction 18 Over 5 EndFraction (11)

y = StartFraction (18) (5) Over 11 EndFraction

y = StartFraction 11 Over (18) (5) EndFraction

Maria created a graph of B(t), the temperature over time. For the interval between t = 3 and t = 7, the average rate of change in her graph of B(t) is 8. Which statement must be true?

The temperature was 8 degrees higher when t = 7 than when t = 3.

The temperature was 8 times higher when t = 7 than when t = 3.

The temperature was 32 degrees higher when t = 7 than when t = 3.

The temperature was 2 degrees higher when t = 7 than when t = 3.

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

One-fifth

Four-fifths

If y varies directly as x, and y is 400 when x is r and y is r when x is 4, what is the numeric constant of variation in this relation?

100

198

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