For each of the following, set up either a system of equations in two variables or a quadratic equation and solve. (Round to two decimal places if necessary.) 20. Automotive Trades The fuel economy F of a certain hybrid electric car at speeds between 50 mi/hr and 100 mi/hr is given by the formula F = 0.005v² 1.25v + 96 where Fis in miles per gallon and vis the speed in miles per hour. What speed will result in a fuel economy of 39 mi/gal?

Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:Lynn Marecek, MaryAnne Anthony-Smith
Chapter10: Quadratic Equations
Section10.4: Solve Applications Modeled By Quadratic Equations
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There are TWO solutions to a quadratic equation. Unless otherwise instructed, give both answers if it is a pure math problem. For real world problems and story problems, one of the answers is usually ridiculous and can be ignored. Do a sanity check to identify the applicable solution. In the case of astory problem, if you are unsure which solution is correct, give both.

For each of the following, set up either a system of equations in two variables or a quadratic equation and solve. (Round to two decimal places if necessary.)
20.
Automotive Trades The fuel economy F of a certain hybrid electric car at speeds between 50 mi/hr and 100 mi/hr is given by the formula
F = 0.005v²
1.25v + 96
where Fis in miles per gallon and vis the speed in miles per hour. What speed will result in a fuel economy of 39 mi/gal?
Transcribed Image Text:For each of the following, set up either a system of equations in two variables or a quadratic equation and solve. (Round to two decimal places if necessary.) 20. Automotive Trades The fuel economy F of a certain hybrid electric car at speeds between 50 mi/hr and 100 mi/hr is given by the formula F = 0.005v² 1.25v + 96 where Fis in miles per gallon and vis the speed in miles per hour. What speed will result in a fuel economy of 39 mi/gal?
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