# algera

posted by Nate

The fuel efficiency for a certain midsize car is given by
E(v) = −0.018v^2 + 1.440v + 3.9 where E(v)is the fuel efficiency in miles per gallon for a car traveling v miles per hour.
(a) What speed will yield the maximum fuel efficiency? Round to the nearest mile per hour.
1 mph

(b) What is the maximum fuel efficiency for this car? Round to the nearest mile per gallon.
2 mpg

1. Reiny

find the derivative, set it equal to zero and solve.

## Similar Questions

1. ### math

Your Porsche's gas mileage (in miles per gallon) is given as a function M(x) of speed x in miles per hour. It is found that M'(x) = 3,600x−2 − 1 (3,600x−1 + x)2 . Estimate M'(10), M'(60), and M'(110). (Round your …
2. ### Algebra

The amount of carbon dioxide (in pounds per 15,000 cubic miles) released by a certain SUV depends on its fuel efficiency according to the formula W = 33x2 − 2145x + 43,000 (12 ≤ x ≤ 33) where x is the fuel efficiency …
3. ### Algebra

The fuel efficiency for a certain midsize car is given by E(v) = −0.017v^ + 1.462v + 3.5 where E(v)is the fuel efficiency in miles per gallon for a car traveling v miles per hour. (a) What speed will yield the maximum fuel efficiency?
4. ### Algebra

The fuel efficiency for a certain midsize car is given by E(v) = −0.017v^ + 1.462v + 3.5 where E(v)is the fuel efficiency in miles per gallon for a car traveling v miles per hour. (a) What speed will yield the maximum fuel efficiency?
5. ### algebra

The fuel efficiency for a certain midsize car is given by E(v)= -0.016v^2+1.408v+3.8, where E(v)is the fuel efficiency in miles per gallon for a car traveling v miles per hour. What speed will yield the maximum fuel efficiency?
6. ### math

The fuel efficiency for a certain midsize car is given by E(v)= -0.016v^2+1.408v+3.8, where E(v)is the fuel efficiency in miles per gallon for a car traveling v miles per hour. What speed will yield the maximum fuel efficiency?
7. ### algebra 2

The fuel efficiency rating for a certain car is 28 miles per gallon on the highway and 21 miles per gallon in the city. During one week the car traveled a total of 10.5 gallons of fuel. a) please set up an equation(s) that would model …
8. ### Calculus

The fuel consumption (gallons per hour) of a car traveling at a speed of v miles per hour is c = f(v). 1) What is the meaning of the derivative f ' (v)?
9. ### math

Which car is the cheapest to run?Explain why. Bill's car: average fuel composition 20 miles per gallon Sue's car: average fuel composition 30 miles per gallon Fred's car: average fuel composition 40 miles per gallon I think the answer
10. ### algebra 1

Harold's car has a fuel tank with 12 gallons of fuel in it. The fuel efficiency of Harold's car is 25 miles per gallon. Write an equation to represent the amount of fuel remaining, f, in Harold's car after driving m miles.

More Similar Questions