Rate of Change Answers

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?

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

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?

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?

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

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?

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

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.

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