Rafael is driving his motorhome. It uses 4 gallons of gas for every 28 miles he travels.
Complete the table below showing the number of gallons used and the distance traveled.
number of gallons 4 __ 7 __ 10
distand (miles) 28 35 __63__
fill in the blanks
number of gallons 4 __ 7 __ 10
distance (miles) 28 35 __63__
To find the missing values, we can set up a proportion:
4 gallons / 28 miles = x gallons / y miles
Using cross-multiplication, we can solve for x and y:
4y = 28x
7x = 35
10y = 63
Solving for x:
7x = 35
x = 35 / 7
x = 5
Solving for y:
4y = 28x
4y = 28 * 5
4y = 140
y = 140 / 4
y = 35
So the completed table is:
number of gallons: 4, 5, 7, 10
distance (miles): 28, 35, 49, 70