Answer :
First, we note that your weight at week 0 is [tex]$150$[/tex] pounds and at week 5 is [tex]$137$[/tex] pounds. This means that the change in weight over the first five weeks is
[tex]$$
\Delta w = 137 - 150 = -13 \text{ pounds}.
$$[/tex]
Since the time interval from week 0 to week 5 is
[tex]$$
\Delta t = 5 \text{ weeks},
$$[/tex]
the average rate of change of weight with respect to time is given by
[tex]$$
\text{Average rate} = \frac{\Delta w}{\Delta t} = \frac{-13}{5} = -2.6 \text{ pounds per week}.
$$[/tex]
Thus, the best answer from the choices is:
d. [tex]$-2.6$[/tex] pounds per week.
[tex]$$
\Delta w = 137 - 150 = -13 \text{ pounds}.
$$[/tex]
Since the time interval from week 0 to week 5 is
[tex]$$
\Delta t = 5 \text{ weeks},
$$[/tex]
the average rate of change of weight with respect to time is given by
[tex]$$
\text{Average rate} = \frac{\Delta w}{\Delta t} = \frac{-13}{5} = -2.6 \text{ pounds per week}.
$$[/tex]
Thus, the best answer from the choices is:
d. [tex]$-2.6$[/tex] pounds per week.