Question

Arianne began a new fitness and wellness program. After 20 days she weighed 211 pounds. After 60 days she weighed 195 pounds. If the relationship between the number of days and Ashlev's weight is linear, find the rate of her weight change

Answer 1

Arianne's rate of weight change in the fitness program is -0.4 pounds per day, which represents a steady weight loss over the period measured.

Step-by-step explanation:

To find the rate of weight change for Arianne in her fitness and wellness program, we apply the formula for the slope of a line (which in this context represents the weight change per day) since the relationship between the number of days and Arianne's weight is linear. The slope formula is:

Rate of weight change (slope) = (Change in weight) / (Change in time)

Using Arianne's weights at 20 days and 60 days, the change in weight is:

• Weight after 60 days: 195 pounds
• Weight after 20 days: 211 pounds

So the change in weight = 195 - 211 = -16 pounds (weight loss is represented by a negative number).

The change in time is 60 - 20 = 40 days.

Therefore, the rate of her weight change is:

Rate of weight change = (-16 pounds) / (40 days) = -0.4 pounds/day

This means that Arianne is losing weight at a rate of 0.4 pounds per day.