Question

A car traveled 63 miles on 3 gallons of gas. What proportion can you set up to determine how many miles, m, the car can travel on 7 gallons of gas? 63 7 7 63 ECO II 63 = 3​

Answer 1

Answer: With 7 gallons of gas, the car can travel 147 miles.

The proportion is:

N*(63 miles/3) = total distance the car can travel with N gallons of gas.

Explanation:

We know that with 3 gallons of gas, the car can travel 63 miles.

Then for N gallons of gas, we first need to count the number of times that 3 is in N.

This is equal to the quotient between N and 3:

N/3

This is the number of times that we have 3 gallons of gas, in a total of N gallons of gas.

And for each one of these, the car can travel 63 miles.

Then the total distance that the car can travel with N gallons of gas is:

(N/3)*63 miles. = N*(63 miles/3) = total distance the car can travel.

In this case, we want to know how many miles the car can travel with 7 gallons of gas, then if we use that equation we get:

(7/3)*63 miles = 147 miles.