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?

63/3 = m/7

63/3=m/7

To set up a proportion to determine how many miles the car can travel on 7 gallons of gas, we need to establish the relationship between the number of miles traveled and the number of gallons of gas used.

From the given information, we know that the car traveled 63 miles on 3 gallons of gas.

So, we can set up the following proportion:

Miles traveled / Gallons of gas used = Time traveled / Gallons of gas used

Using the values from the given information:

63 miles / 3 gallons = m miles / 7 gallons

Simplifying this proportion, we get:

(63/3) = (m/7)

Simplifying further, we have:

21 = m/7

To find the value of "m" (the number of miles the car can travel on 7 gallons of gas), we can cross-multiply:

21 × 7 = m

Solving this equation, we get:

147 = m

Therefore, the car can travel 147 miles on 7 gallons of gas.

To determine the proportion for this problem, we can set up a ratio of miles to gallons traveled:

miles traveled / gallons of gas = miles per gallon

We know that the car traveled 63 miles on 3 gallons of gas. So, the miles per gallon can be calculated as:

63 miles / 3 gallons = 21 miles per gallon

Now, we need to find out how many miles the car can travel on 7 gallons of gas using this miles per gallon ratio.

miles traveled / 7 gallons = 21 miles per gallon

To solve for the miles traveled, we cross multiply:

miles traveled = 7 gallons * 21 miles per gallon

miles traveled = 147 miles

Therefore, using the proportion, the car can travel 147 miles on 7 gallons of gas.