Question

At the gym, Alba walked on the treadmill for 20 minutes and burned 90 calories. After walking for 45 minutes, she burned a total of 202.5 calories. This situation can be represented by the coordinate points (20,90) and (45,202.5). Determine the rate in which Alba is burning calories per minute.

Answer 1

Alba is burning calories at a rate of 4.5 calories per minute, which is determined by calculating the slope of the line connecting the points (20, 90) and (45, 202.5).

Step-by-step explanation:

To determine the rate at which Alba is burning calories per minute, use the coordinate points (20, 90) and (45, 202.5) which represent the minutes spent on the treadmill and the calories burned, respectively. The rate can be calculated by finding the slope of the line that passes through these two points.

The slope formula is given by (change in y)/(change in x), which represents the rate of change. In this context, 'y' represents calories burned, and 'x' represents minutes.

So, the rate at which Alba is burning calories per minute is (202.5 - 90) / (45 - 20) = 112.5 / 25 = 4.5 calories per minute.