Lesson: Slope and Rate of Change

Which of the following functions has a rate of change that is more rapid than the function shown in the graph?

Determine which of the given functions has the greatest rate of change.

(a)

(b) a function where the input is multiplied by 3 and subtracted from 4

(c)

(d)

At an amusement park, a booth was selling soft drinks. By 2:00 pm, 37 soft drinks were sold, and, by 4:00 pm, 69 were sold. Assuming that the booth was selling at a linear rate during this period, determine the slope of the line representing this information.