Below are descriptions of some rides in an amusement park and some questions for

Question

Below are descriptions of some rides in an amusement park and some questions for you to answer. Use algebra (i.e. do not use your graphing calculator to graph the functions) to solve each unless otherwise directed. SHOW ALL YOUR WORK The SLIDE This ride is located in the kiddie section! The height of the rider above ground, h yards, after t seconds can be modeled by the function: h(t) = 0.5t + 40 How long does the ride last (from starting height to reaching ground level)? Change the numbers so that the ride starts higher and drops faster. Now how long does the ride last, based on the changes in part b?

Explanation / Answer

a) h(t) = -0.5t + 40

at end of ride h(t) = 0

so 0.5 t = 40

t = 80 seconds

b)

if h(t) = -2t+80 then ride starts higher and drops faster

c)

ride lasts for 40 seconds based on changes in b)

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