You began membership in a new health and fitness club which has access to a dietician and personal trainer. they 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 your weight decreases during each of the first five weeks of the program. determine the actual change in weight over the first five weeks of the program by subtracting your initial weight from your weight at the end of the first five weeks. what is the sign of your answer? what is the significance of this sign? 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.

I think the most accurate answer can be the last one d. 150-137=13lb; A change in weight is positive, because the weight increases. I also think that the weight decreases each time we lose, but there's no such an answer. I think that the last word of answer d is just incorrect. The weight decreases*

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

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

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

:) so in conclusion the answer is C

Step-by-step explanation:

The answer is B Boi

The correct option is d.

Step-by-step explanation:

The average rate of change of a function between two points is defined as

If during a time period the average rate of change is zero, then

It means the value of the function is same for both the points.

From the given table it is clear that the weight is same for 5th and 6th week.

So, the average rate of change zero from week 5 to week 6.

Therefore the correct option is d.

I determine by i add 0. add 5.

I think it's 5 to 6 but that's just my guess.

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

Change in time (weeks) =      5 - 0      =   5    = -0.3846 
Change in weight (lbs)       137 -150      -13

The average rate of change of weight with respect to time over the first five weeks of the program is -0.3846. It is a negative sign because the weight is decreasing.

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