# Proportions and word problems

83. Filling the tank. Chantal filled her empty gas tank in x minutes.

a) Write a rational expression for the rate at which she filled her tank.

b) Write a rational expression for the portion of the tank that is filled in 2 minutes.

Solve the equation

59. 4/c-2 - ½-c + 25/c+6

Use a proportion to solve each problem.

47. Voting. If 220 out of 500 voters surveyed said that they would vote for the incumbent, then how many votes could the incumbent expect out of the 400,000 voters in the state?

Show a complete solution to each problem.

57. Road trip. The Griswalds averaged 45 mph on their way to Las Vegas and 60 mph on the way back home using the same route. Find the distance from their home to Las Vegas if the total driving time was 70 hours.

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#### Solution Preview

Hi, herewith I have attached the solution.

Filling the tank. Chantal filled her empty gas tank in x minutes.

a) Write a rational expression for the rate at which she filled her tank.

Solution

Rate = Volume of the tank/x minutes

R = V/x

b) Write a rational expression for the portion of the tank that is filled in 2 minutes.

V = ...

#### Solution Summary

This provides examples of using proportions and rational expressions to solve word problems.