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The function [tex]C(x) = 0.0086x^2 + 1.11x - 1.37[/tex] represents the stopping distance in feet at [tex]x[/tex] mph.

What is the stopping distance when driving at 85 mph? Round your answer to the nearest whole number.

Answer :

Final answer:

The equation provided is a model used to calculate stopping distance based on the speed of a vehicle. At 85mph, a vehicle will have a stopping distance of approximately 155.115 feet.

Explanation:

The given equation C(85)=0.0086(85)²+1.11(85)-1.37 represents the stopping distance in feet at a particular speed. The solution to find the stopping distance at 85mph would involve substituting 85 in place of 'x' in the function. As a result, we get the stopping distance to be C(85) = 0.0086*(85)² + 1.11*(85) - 1.37.

First, we calculate the value of the expression (85)² which is 7225 and then multiply this with 0.0086 to get approximately 62.135. Second, we calculate the value of 1.11*85 which equals 94.35. After adding these two numbers, we subtract 1.37 from the result.

Ultimately, the stopping distance is approximately 155.115 feet when traveling at 85mph. But, its largely related to the driver's reaction time and the conditions of the concrete. A wet concrete surface decreases the stopping distance compared to dry concrete.:

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