The grade x of a hill is a measure of its steepness. For example, if a road rises 10 feet for every 100 feet of horizontal distance, then it has an uphill grade of x or 10%. Grades are typically kept quite small, usually less than 10%. The 10 braking distance D for a car travelling at 50 miles per hour (mph) on a wet uphill grade is given by the formula D(x)= 2500 30(0.3 + x) (a) Evaluate D(0.08) and interpret the result. Select the correct choice below and fill in the answer boxes to complete your choice. (Simplify your answer. Round to the nearest whole number as needed.) O A. D(0.08) = t; A car travelling at 50 mph on a wet uphill grade of 0.08 has a braking distance of aboutft. O B. D(0.08) = A car travelling at 50 mph on a wet uphill grade of has a braking distance of about 0.08 ft.

Algebra and Trigonometry (6th Edition)
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Author:Robert F. Blitzer
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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The grade \( x \) of a hill is a measure of its steepness. For example, if a road rises 10 feet for every 100 feet of horizontal distance, then it has an uphill grade of \( x = \frac{10}{100} \) or 10%. Grades are typically kept quite small, usually less than 10%. The braking distance \( D \) for a car traveling at 50 miles per hour (mph) on a wet uphill grade is given by the formula:

\[ D(x) = \frac{2500}{30(0.3 + x)} \]

(a) Evaluate \( D(0.08) \) and interpret the result. Select the correct choice below and fill in the answer boxes to complete your choice. (Simplify your answer. Round to the nearest whole number as needed.)

- \( \bigcirc \) A. \( D(0.08) = \, \square \, \) ft.; A car traveling at 50 mph on a wet uphill grade of 0.08 has a braking distance of about \( \, \square \, \) ft.

- \( \bigcirc \) B. \( D(0.08) = \, \square \, \) A car traveling at 50 mph on a wet uphill grade of \( \, \square \, \) has a braking distance of about 0.08 ft.
Transcribed Image Text:The grade \( x \) of a hill is a measure of its steepness. For example, if a road rises 10 feet for every 100 feet of horizontal distance, then it has an uphill grade of \( x = \frac{10}{100} \) or 10%. Grades are typically kept quite small, usually less than 10%. The braking distance \( D \) for a car traveling at 50 miles per hour (mph) on a wet uphill grade is given by the formula: \[ D(x) = \frac{2500}{30(0.3 + x)} \] (a) Evaluate \( D(0.08) \) and interpret the result. Select the correct choice below and fill in the answer boxes to complete your choice. (Simplify your answer. Round to the nearest whole number as needed.) - \( \bigcirc \) A. \( D(0.08) = \, \square \, \) ft.; A car traveling at 50 mph on a wet uphill grade of 0.08 has a braking distance of about \( \, \square \, \) ft. - \( \bigcirc \) B. \( D(0.08) = \, \square \, \) A car traveling at 50 mph on a wet uphill grade of \( \, \square \, \) has a braking distance of about 0.08 ft.
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