SOLUTION: 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 relation

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Question 1093768: 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.


Found 2 solutions by Alan3354, ikleyn:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
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.
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d = r*g

Answer by ikleyn(52914) About Me  (Show Source):
You can put this solution on YOUR website!
.
If the equation has the form

d = r*g   with the constant  r,      (1)

then

r = d%2Fg = 15%2F12 = 5%2F4 = 1.25.


So, the constant r = 5%2F4 = 1.25.


Then the equation (1) takes the form

d = %285%2F4%29%2Ag,    or    d = 1.25*g.


It is the equation the question asks for,