Question

Sam drives his car at a constant speed. He travels a distance (d) of 15 miles with 12 of a gallon of gas (g). Write an equation in the form of d=rg that represents the relationship between distance (d) and the number of gallons of gas (g), where r is the constant of proportionality.

Answer 1

`d =30g`

Explanation:

Sam drives his car at a constant speed. He travels a distance (d) of 15 miles with 1/2 of a gallon of gas (g)

Distance d= 15

Gallons of gas (g)= 1/2

Equation is d= rg

Now plug in the values

15 = r* 1/2

Now we divide by 1/2 on both sides

`r=(15)/((1)/(2))=15 * (2)/(1)= 30`

r=30

Now we replace the value of 'r' in the equation d=rg

`d = 30g`