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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 to stop while talking on a cell phone if you are driving at 35 mph? Round your answer to the nearest hundredth.

Answer :

Final answer:

When substituting x=35 into the function C(x)=0.0086x2+1.11x-1.37, the stopping distance while talking on a phone and driving at 35 miles per hour is approximately 45.9 feet.

Explanation:

To find the stopping distance at 35 mph, we need to substitute 'x' in the equation C(x)=0.0086x2+1.11x-1.37 with 35. Doing so gives us C(35)=0.0086*(35)2+1.11*(35)-1.37.

By calculating the above expression, we get C(35) = 45.9. Therefore, while talking on a cell phone and driving at 35 mph, it would take approximately 45.9 feet to stop. We rounded our answer to the nearest hundredth for accuracy.

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