Answers OC27 MATH COLL ALGEBRA-1200710-S1-YACKELLinear Functions

Rate of Change Answers

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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 ?

f(9 – 2)

f(9) – f(2)

StartFraction f (9 minus 2) Over 9 minus 2 EndFraction

StartFraction f (9) minus f (2) Over 9 minus 2 EndFraction

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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 180 when x is n and y is n when x is 5, what is the value of n?

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.

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).