A graph of the cost of gas purchased depending on the number of gallons pumped has the points (4,15)

Question

and (8,30)
. What is the rate of change in the cost of the gas as each gallon is pumped?(1 point)

Answer 1

To find the rate of change in the cost of gas per gallon pumped, we can use the two points provided: (4, 15) and (8, 30).

The rate of change (slope) can be calculated using the formula:

\[ \text{Slope} = \frac{y_2 - y_1}{x_2 - x_1} \]

Where \((x_1, y_1) = (4, 15)\) and \((x_2, y_2) = (8, 30)\):

\[ \text{Slope} = \frac{30 - 15}{8 - 4} = \frac{15}{4} = 3.75 \]

Thus, the rate of change in the cost of gas as each gallon is pumped is \(3.75\) dollars per gallon.