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)
$
per gallon
Re

Answer 1

To find the rate of change in the cost of gas per gallon, we can use the two points given on the graph: (4, 15) and (8, 30). The rate of change (slope) can be calculated using the formula:

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

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

Plugging in the coordinates:

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

So, the rate of change in the cost of gas is \(\frac{15}{4}\) dollars per gallon.

In decimal form, this is:

\[ \frac{15}{4} = 3.75 \]

Thus, the rate of change in the cost of gas is $3.75 per gallon.