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Answer :
To find the average rate of change of weight over the last four weeks of your fitness program, we need to look at your weight at week 4 and week 8. Here's how you can calculate it:
1. Identify the time intervals and weights:
- At week 4, your weight was 140 pounds.
- At week 8, your weight was 129 pounds.
2. Calculate the change in weight ([tex]\(\Delta\)[/tex] weight):
[tex]\[
\Delta \text{weight} = \text{weight at week 8} - \text{weight at week 4} = 129 - 140 = -11 \text{ pounds}
\][/tex]
3. Calculate the change in time ([tex]\(\Delta\)[/tex] time):
[tex]\[
\Delta \text{time} = \text{week 8} - \text{week 4} = 8 - 4 = 4 \text{ weeks}
\][/tex]
4. Determine the average rate of change in weight:
[tex]\[
\text{Average rate of change} = \frac{\Delta \text{weight}}{\Delta \text{time}} = \frac{-11 \text{ pounds}}{4 \text{ weeks}} = -2.75 \text{ pounds per week}
\][/tex]
The average rate of change of your weight over the last four weeks is [tex]\(-2.75\)[/tex] pounds per week.
Therefore, the best answer from the choices provided is:
a. -2.75 pounds per week.
1. Identify the time intervals and weights:
- At week 4, your weight was 140 pounds.
- At week 8, your weight was 129 pounds.
2. Calculate the change in weight ([tex]\(\Delta\)[/tex] weight):
[tex]\[
\Delta \text{weight} = \text{weight at week 8} - \text{weight at week 4} = 129 - 140 = -11 \text{ pounds}
\][/tex]
3. Calculate the change in time ([tex]\(\Delta\)[/tex] time):
[tex]\[
\Delta \text{time} = \text{week 8} - \text{week 4} = 8 - 4 = 4 \text{ weeks}
\][/tex]
4. Determine the average rate of change in weight:
[tex]\[
\text{Average rate of change} = \frac{\Delta \text{weight}}{\Delta \text{time}} = \frac{-11 \text{ pounds}}{4 \text{ weeks}} = -2.75 \text{ pounds per week}
\][/tex]
The average rate of change of your weight over the last four weeks is [tex]\(-2.75\)[/tex] pounds per week.
Therefore, the best answer from the choices provided is:
a. -2.75 pounds per week.
Thanks for taking the time to read You began membership in a new health and fitness club which provides access to a dietician and personal trainer They help you develop a special. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
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