Question

Amanda go to the gym every day and cross streets based on the chart at the gym showing the calories expended for various activities Amanda has kept track of the number of calories she has been over the last two weeks she wants to find the rate at which she burn calories on day eight that if she needs to find C(8) estimate the value

Answer 1

From the given table, we have:

Day (t) C(t)

2 314

4 356

6 370

8 386

10 405

12 442

14 516

Let's estimate the value of C'(8).

To find the value of C'(8), let's first find the upper and lower values.

Using the formula:

`(C(B)-C(A))/(B-A)`

We have:

`\begin{gathered} C^(\prime)(8)_(upper)=(C(10)-C(8))/(10-8)=(405-386)/(2)=(19)/(2)=9.5 \\ \\ C^(\prime)(8)_(lower)=(C(8)-C(6))/(8-6)=(386-370)/(2)=(16)/(2)=8 \end{gathered}`

Therefore, the value of C'(8) will be:

`C^(\prime)(8)=(C^(\prime)(8)_(uper)+C^(\prime)(8)_(lower))/(2)=(9.5+8)/(2)=(17.5)/(2)=8.75`

Therefore, the value of C'(8) is 8.75 calories per day.

• ANSWER:

B. 8.75 calories per day.