Rate of Change Answers

The height, h, of a falling object t seconds after it is dropped from a platform 300 feet above the ground is modeled by the function . Which expression could be used to determine the average rate at which the object falls during the first 3 seconds of its fall?

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

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

If y varies directly as x, and y is 12 when x is 1.2, what is the constant of variation for this relation?

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?

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

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

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?

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?

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