Slope in Real-World Problems Practice

Question

Complete this assessment to review what you've learned. It will not count toward your grade.
4 of 54 of 5 Items

Question
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 gallon is pumped?(1 point)
$
per gallon

Answer 1

To find the rate of change in the cost of gas per gallon, you can use the formula for the slope (m) of a line, which is given by:

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

In this case, the two points given are \( (4, 15) \) and \( (8, 30) \). Here, \( (x_1, y_1) = (4, 15) \) and \( (x_2, y_2) = (8, 30) \).

Now, plug the coordinates into the formula:

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

So, the rate of change in the cost of the gas as each gallon is pumped is:

\[ 3.75 \text{ dollars per gallon} \]