The table of values below represents a linear function and shows marco’s progress as he is pumping gas into his car. what is the output for the initial value? seconds spent pumping gas 0 12 24 36 48 gallons of gas in car 3 5 7 9 11 a. 0 gallons b. 2 gallons c. 3 gallons d. 6 gallons

The general equation is y = mx + c

Here y is the gallons of gas in the car

x is the seconds spent at the pumping station

Now when x = 0 , y = 3

Substituting in y= mx + c

we get

3 = m(0) + c

c = 3

Hence y = mx + c becomes

y = mx + 3

Now at x = 12, y = 5

Substituting in

y= mx + 3

5 = 12m + 3

Subtracting 3 from both sides

2 = 12m

Dividing by 12 on both sides

m = 2/12 = 1/6

Hence the linear equation is

For the initial output, x = 0

We get

y = 3 gallons

Option c) is the right answer