Approaching Problems and Proportional Reasoning

# Approaching Problems and Proportional Reasoning

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## Approaching Problems and Proportional Reasoning

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1. Approaching Problems andProportional Reasoning

2. While traveling to his grandmother’s for Christmas, George fell asleep a third of the way through the journey. When he awoke, he still had to travel a quarter of the distance that he had traveled while sleeping. For what part of the entire journey had he been asleep?

3. A frog is at the bottom of a 16-foot well. Each day it crawls up 4 feet and slips back 2 feet. After how many days will the frog reach the top of the well?

4. A hybrid car averages 607 miles on a 12.4 gallon tank of gas. Manuel is planning a 1240-mile vacation in hybrid car. Find how many gallons of gas he can expect to burn.

5. Suppose j varies jointly with g and v. When g = 4 and v = 3, then j = 5. a. What is the constant of variation? (Give an exact answer.) b. Find j when g = 10 and v = 11.