Question

Predict the change in a runner’s finishing time with a wind speed of
5meters/second.

Answer 1

The change t was -1.243 seconds

Explanation:

We already have the equation that models the change in the runner's time based on the wind speed s.

This relation between t and s is given by a quadratic function.

If the function is:

`t = 0.0119s ^ 2 -0.308s -0.0003`

To predict the change in the completion time when the speed is 5m/s, we must replace s = 5 in the equation.

Then we substitute s = 5

`t = 0.0119(5) ^ 2 -0.308(5) -0.0003\\\\t = -1,243 s`

The change was -1.243 seconds

Answer 2

t = -1.24

Explanation:

From the equation;

t = 0.0119s² - 0.308 s -0.0003

Where t is the change in a runner's performance, and s is the tail wind speed.

But s = 5 m/s

Therefore;

t = 0.0119 (5²) - 0.308(5) -0.0003

= 0.2975 - 1.54 - 0.0003

= - 1.2428

Since, negative means a runner finishes with a lower time, then;

t = -1.2428 to the nearest hundredth

= -1.24