Question

graph below represents the number of miles, y, that janelys can drive her car d the rate of change.
janelyss gas mileage
(20,704)
miles driven
(10,352)
gallons of gas

Explanation:

Step1: Recall rate of change formula

The rate of change (slope) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by \(m=\frac{y_2 - y_1}{x_2 - x_1}\).

Step2: Identify the two points

From the graph, we have two points: \((x_1, y_1)=(10, 352)\) and \((x_2, y_2)=(20, 704)\).

Step3: Substitute into the formula

Substitute the values into the slope formula: \(m=\frac{704 - 352}{20 - 10}\).

Step4: Calculate the numerator and denominator

First, calculate the numerator: \(704 - 352 = 352\).
Then, calculate the denominator: \(20 - 10 = 10\).

Step5: Simplify the fraction

\(m=\frac{352}{10}=35.2\).

Answer:

The rate of change is \(35.2\) miles per gallon.