A graph of the cost of gas purchased depending on the number of gallons pumped has the points (4 , 15) and (8 , 30). What is the rate of change in the cost of the gas as each gallons is pumped

Answer 1

To find the rate of change in the cost of gas per gallon, you can calculate the slope of the line connecting the two points (4, 15) and (8, 30). The slope (rate of change) is calculated using the formula:

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

Here, \((x_1, y_1) = (4, 15)\) and \((x_2, y_2) = (8, 30)\).

Substituting the coordinates into the formula gives:

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

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