# Math - Advanced Functions

posted by Sydney

the function f(x)=-0.005x^2+0.8x+12 models the relationship between a certain vehicle's speed and a fuel economy, where f(x) is the fuel economy in kilometres per litre and x is the speed of the vehicle in kilometres per hour. Determine the rate of change in fuel economy for 10km/h intervals in speed, and use your results to determine the speed that gives the best fuel economy.

## Similar Questions

1. ### algebra

Testers drive 8 vehicles 200 miles on a test track at the same speed. The table shows the amount of fuel ea vehicle uses. Find the fuel efficiency in miles per gallon for each vehicle.
2. ### Physics

The first stage of a space vehicle consumed fuel and oxidizer at the rate of 1.65 104 kg/s with an exhaust speed of 2.55 103 m/s. (a) Calculate the thrust produced by this engine. (b) Find the acceleration the vehicle had just as it …
3. ### 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 …
4. ### Math grade 12

the function f(x)= -o.005t^2+0.8t+12 models the relationship between a certain vehicleâ€™s speed and fuel economy, where is the fuel economy in kilometres per litre and x is the speed of the vehicle in kilometres per hour. Determine …
5. ### math

a car travels at a constants speed and uses G(x) litres of gas per kilomotre, where x is the speed of the car in kilomotres oer hour and G(x)=(1280+x^2)/(320x) a>if fuel costs 1.29 per litre, determine the cost function C(x)that …
6. ### Rational Functions Word Problem

A car travels at a constant speed and burns g(x) litres of gas per kilometer, where x is the speed of the car in kilometers per hour and g(x) = 1280 + x^2/320x a) If gas costs \$1.29 per litre, find the cost function C(x) that expresses …
7. ### math

A rally car traveled for 2 hours 40 minutes at an average speed of 120 km/h. The car consumes an average of 1 litre of fuel for every 4 kilometers. A litre of the fuel costs \$ 59. Calculate the amount of money spent on fuel
8. ### business finance

it is the policy of Beaj ltd to replace its vehicle after 5 years. the market value of a vehicle due for replacement is estimated to be \$20000. a new vehicle to replace it is quoted as \$78000. the money cost of capital is 25%. the …
9. ### Math

The following table compares the speed you drive in km/h to the fuel economy in km/L. Find the speed you need to travel to max your fuel economy. Speed 24 32 40 48 56 64 72 80 89 97 105 113 Fuel Economy 9.48 10.84 11.69 12.33 12.24 …
10. ### Anonymous

The following table compares the speed you drive in km/h to the fuel economy in km/L. Find the speed you need to travel to max your fuel economy. Speed 24 32 40 48 56 64 72 80 89 97 105 113 Fuel Economy 9.48 10.84 11.69 12.33 12.24 …

More Similar Questions