Ali is driving his motorhome. it uses 4 gallons of gas for every 32 miles. complete the table below. if he uses 7 gallons of gas how many miles would he have traveled. and if he used 10 gallons of gas how many miles would he have traveled?
4 gal for 32 mi means 8 miles per gallon
To complete the table, we need to find the number of miles Ali would have traveled for each given number of gallons of gas. We know that Ali's motorhome uses 4 gallons of gas for every 32 miles.
To find the miles traveled, we can set up a proportion. The proportion can be written as:
4 gallons / 32 miles = x gallons / y miles
Now we can solve for x and y.
For 7 gallons of gas:
4 gallons / 32 miles = x gallons / 7 gallons
Cross multiplying, we get:
4 * 7 = 32 * x
Simplifying further, we have:
28 = 32x
Dividing both sides by 32, we get:
x = 28/32 = 0.875
So, for 7 gallons of gas, Ali would have traveled approximately 0.875 * 32 = 28 miles.
Next, let's find out how many miles he would have traveled with 10 gallons of gas.
4 gallons / 32 miles = x gallons / 10 gallons
Cross multiplying, we get:
4 * 10 = 32 * x
Simplifying further, we have:
40 = 32x
Dividing both sides by 32, we get:
x = 40/32 = 1.25
So, for 10 gallons of gas, Ali would have traveled approximately 1.25 * 32 = 40 miles.