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ch4aika [34]
3 years ago
7

You began membership in a new health and fitness club which has access to a dietician and personal trainer. They help you develo

p 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

During which time period is the average rate of change zero?
a.
From week 7 to week 8
b.
From week 3 to week 4
c.
From week 0 to week 1
d.
From week 5 to week 6
Mathematics
2 answers:
vladimir2022 [97]3 years ago
3 0
I think it's 5 to 6 but that's just my guess.
zimovet [89]3 years ago
3 0

Answer:

The correct option is d.

Step-by-step explanation:

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

m=\frac{f(x_2)-f(x_1)}{x_2-x_1}

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

0=\frac{f(x_2)-f(x_1)}{x_2-x_1}

0=f(x_2)-f(x_1)

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.

m=\frac{f(6)-f(5)}{6-5}

m=\frac{137-137}{1}

m=0

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

Therefore the correct option is d.

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