physics

posted by .

The cost of gasoline per hour for running a certain car is directly proportional to the square of the speed. I f the cost is $2.40 per hour for a speed of 40 km/h, what is the cost per hour for a speed of 60 km/h?

  • physics -

    Multiply the 40 mph cost (2.40/hr) by (60/40)^2.

    The cost per mile will decrease by a smaller factor (3/2), since the car goes farther per mile.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math

    A small truck is to be driven 300 miles on a freeway at a constant speed of x miles per hour. Speed laws on the freeway require that a truck must be driven between 30 miles per hour and 70 miles per hour. assume that fuel cost $3.50 …
  2. math

    the cost per hour of running an assembly line in a manufacturing plant is a function of the number of items produced per hour. The cost function is C(x) = 0.28x^2 - 0.7x + 1 where C(x) is the cost per hour in thousands of dollars and …
  3. 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 …
  4. math

    (TRANSPORTATION COST) A truck is hired to transport goods from a factory to a warehouse. The driver’s wages are figured by the hour and so are inversely proportional to the speed at which the truck is driven. The cost of gasoline …
  5. Calculus/ Optimization

    A truck driver, on assignment from the owner of the truck is to drive on a 300 mile stretch of highway at a constant speed of v miles per hour. According to road signs, the minimum speed allowed is 55 miles per hour and the speed limit …
  6. Math/ Calculus Please HELP!!!

    A truck driver, on assignment from the owner of the truck is to drive on a 300 mile stretch of highway at a constant speed of v miles per hour. According to road signs, the minimum speed allowed is 55 miles per hour and the speed limit …
  7. calculus

    16. Given the following information, determine the constant speed, travel time, and cost that represent the minimum one-way trip delivery cost. Fuel costs per hour are equal to V^2/600 V is the speed in miles per hour Driver (labor) …
  8. algebra

    The cost, c(x) in dollars in per hour of running a certain fishing boat is modeled by the function c(x)= 0.9x^2 - 18.1x + 135.1, where x is the speed in km/hour/ At what approximate speed should the boat travel to achieve minimum cost?
  9. 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 …
  10. math

    A airplane crosses the Atlantic Ocean (3000 miles) with an airspeed of 600 miles per hour. The cost C (in dollars) per passenger is given by... C(x)= 150 + x/20 + 36,000/x Where x is the ground speed (airspeed plus or minus wind). …

More Similar Questions