Question

it costs $40 to rent a car for one day. in addition, the rental agency charges you for each mile driven, as shown in the graph. graph: cost of renting a car, x-axis: miles driven, y-axis: rental cost (dollars), points: (0, 40), (100, 50), (200, 60), (300, 70), (400, 80), (500, 90) part a: determine the slope of the line from the graph. your answer this is a required question

Explanation:

Step1: Recall slope formula

The slope \( m \) 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: Choose two points

We can use the points \((0, 40)\) and \((100, 50)\) (any two points on the line will work). Here, \( x_1 = 0 \), \( y_1 = 40 \), \( x_2 = 100 \), \( y_2 = 50 \).

Step3: Calculate slope

Substitute into the formula: \( m=\frac{50 - 40}{100 - 0}=\frac{10}{100}=0.1 \). We can verify with another pair, e.g., \((200, 60)\) and \((300, 70)\): \( m=\frac{70 - 60}{300 - 200}=\frac{10}{100}=0.1 \).

Answer:

\( 0.1 \) (or \(\frac{1}{10}\))