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

Answer:

5

Step-by-step 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.

Answer 2

Weird question. logically, the only answer that can make sense is a negative one since it is a decreasing slope. the secant is the average rate of change (and is 1/tangent) the tangent is the instantaneous rate of change. (1/secant) we want the first one which is:ΔxΔy=Δ weeksΔ lbs=5−0137−150=5−13=−0.3846