Question

A ball is rolling down a slope and continuously picks up speed. Suppose the function f(x) = 1.1(1.13) describes the speed of the ball in inches per minute. How fast will the ball be rolling in 18 minutes? Round the answer to the nearest whole number.
The ball will be rolling at a rate of about __?__ inches per minute after 18 minutes.​

Answer 1

Speed is the change of distance per unit time

The ball will be rolling at a rate of about 10 inches per minute after 18 minutes.​

How to determine the speed

The function that represents the speed of the ball is given as:

$f(x) = 1.1(1.13)^x$

At the 18th minute, it means that:

$x = 18$

So, we substitute 18 for x in f(x)

$f(18) = 1.1(1.13)^{18$

Evaluate the above expression

$f(18) = 9.92$

Approximate

$f(18) = 10$

Hence, the ball will be rolling at a rate of about 10 inches per minute after 18 minutes.​

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