Question

the graph below shows the number of calories benjamin will burn over time while walking at a constant rate. calories burned while walking

Explanation:

Assuming the question is to find the rate of calories burned per minute (slope of the line), here's the solution:

Step1: Recall slope formula

The slope \( m \) of a line passing through two points \((x_1, y_1)\) and \((x_2, y_2)\) is \( m = \frac{y_2 - y_1}{x_2 - x_1} \). Here, we have the point \((15, 60)\) and the origin \((0, 0)\) (since at time 0, calories burned is 0).

Step2: Calculate slope

Using \((x_1, y_1) = (0, 0)\) and \((x_2, y_2) = (15, 60)\), we get \( m = \frac{60 - 0}{15 - 0} = \frac{60}{15} = 4 \).

Answer:

The rate of calories burned per minute is 4 calories per minute.