Question

You began membership in a new health and fitness club which has access to a dietician and personal trainer. They help you develop a special eight-week diet and exercise program. The data in the following table represents your weight, w, as a function of time, t, over an eight-week period.

Time (weeks)
0
1
2
3
4
5
6
7
8
Weight (lb)
150
144
143
141
140
137
137
132
129

Answer 1

If these are your choices: then your answer is A

a. 137-150 = -13 lb; A change in weight is negative because the weight decreases.

b. 137-150 = 13 lb; A change in weight is positive because the weight decreases.

c. 150-137 = -13 lb; A change in weight is negative because the weight increases.

d. 150-137 = 13 lb; A change in weight is positive because the weight increases.

Explanation:

I just took the test on e2020

Answer 2

5

Explanation:

Let as assume we need to find the change in the t-value over the first five weeks; that is, from t = 0 to t = 5.

The data in the following table represents your weight, w, as a function of time, t, over an eight-week period.

From the given table it is clear that w=150 at t=0 and w=137 at t=5.

The change in the t-value over the first five weeks; that is, from t = 0 to t = 5 is

`\Delta t=t_2-t_1=5-0=5`

The change in the w-value over the first five weeks; that is, from t = 0 to t = 5 is

`\Delta w=w_2-w_1=137-150=-13`

Therefore, the change in the t-value is 5.