Question

assuming that a person drives 162 miles on 6 gallons of gas, find both constants of proportionality. express the first as whole number and the second as a fraction in lowest terms.

Answer 1

To find the constants of proportionality, set up a proportion using the given information. The first constant is 27 miles per gallon and the second constant is 1/27 gallons per mile.

Step-by-step explanation:

To find the constants of proportionality, we need to set up a proportion using the given information. Let's call the constants of proportionality x and y.

Given: 162 miles / 6 gallons = x miles / 1 gallon

Cross multiplying, we get 162 miles * 1 gallon = 6 gallons * x miles

Simplifying, we have x = 27 miles per gallon

Next, we will find the second constant of proportionality.

Given: 162 miles / 6 gallons = 1 mile / y gallons

Cross multiplying, we get 162 miles * y gallons = 6 gallons * 1 mile

Simplifying, we have y = 1/27 gallons per mile