Asked by calgy
The Zepeda family filled the gasoline tank of their minivan at the beginning of a long trip. The relationship between the number of miles driven and the number of gallons remaining in the tank can be modeled with a linear function. When they had driven 120 miles, there were 18 gallons of gasoline in the tank. When they had driven 300 miles, only 6 gallons were left in the tank. How many miles could the Zepedas drive before running out of gasoline?
Answers
Answered by
Steve
If we model the situation as
y = mx+b
then we have
120m+b = 18
300m+b = 6
Subtract to get
-180m = 12
m = -1/15
So, b = 26
y = -1/15 x + 26
y=0 when x = 390
y = mx+b
then we have
120m+b = 18
300m+b = 6
Subtract to get
-180m = 12
m = -1/15
So, b = 26
y = -1/15 x + 26
y=0 when x = 390
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