For Each problem, set u a proportion. Include the units for each ratio. Then solve for the missing value and label your answer with appropriate units. Round answers to the nearest tenth.
Bobby drove 110 miles, and his car used up 5 gallons of gas. How many miles can he drive with 16 gallons of gas?
Let's set up a proportion to solve this problem.
The ratio of miles to gallons is constant, so we can write the proportion as:
110 miles / 5 gallons = x miles / 16 gallons
To find the value of x, we can cross multiply and solve for it.
(110 miles)(16 gallons) = 5 gallons(x miles)
1760 miles = 5x miles
To solve for x, divide both sides of the equation by 5.
1760 miles / 5 = x miles
x = 352 miles
Therefore, he can drive 352 miles with 16 gallons of gas.