Femi keeps track of a number of gallons of gasoline he uses for each of several trips. Part A: Complete the table. The vehicle consumes gasoline at a constant rate. Part B: How much gasoline could Femi reasonably expect to use on a trip of 110 miles?
Accepted Solution
A:
The table is attached.
A) The gasoline consume grows as the distance traveled increases. This means that the two quantities are directly proportional.
Therefore, the proportionality constant is given by: k = gasoline / distance = 2 / 40 = 0.05 We could have used also: k = 3 / 60 = 0.05
In order to find the gasoline consumed, you need to multiply the distance by the proportionality constant: 30 × 0.05 = 1.5 55 × 0.05 = 2.75
In order to find the distance traveled, you need to divide the gasoline consumed by the proportionality constant: 3.5 ÷ 0.05 = 70
B) The function of the proportionality found is: y = 0.05·x where: x = distance y = gasoline
Therefore: y = 0.05·110 = 5.5
Femi for a trip of 110 miles expects to use 5.5 gallons of gasoline.