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The function [tex]C(x) = 0.0086x^2 + 1.11x - 1.37[/tex] represents the stopping distance in feet while talking on a cell phone and driving at a speed of [tex]x[/tex] mph.

What distance will it take you to stop while talking on a cell phone if you are driving at 55 mph? Round your answer to the nearest hundredth.

Answer :

Final answer:

The distance it will take to stop while talking on a cell phone at a speed of 55 mph is approximately 26.051 feet.

Explanation:

To find the distance it will take to stop while talking on a cell phone at a speed of 55 mph, we can substitute x with 55 in the function C(x).

So, C(55) = 0.0086(55)^2 + 1.11(55) - 1.37.

Calculating the expression gives us C(55) ≈ 0.0086(3025) + 1.11(55) - 1.37 ≈ 26.051 feet. Therefore, it will take approximately 26.051 feet to stop while talking on a cell phone at a speed of 55 mph.

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