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?

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08-04-2018
Mathematics

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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?

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Mindaka Mindaka · Answer 1 · 2018-04-17T17:09:59+02:00

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.