Question

Please answer the question that is provided in the screenshot thanks

Answer 1

After 9 weeks on a strict liquid diet, Malik weighed approximately 272.2 pounds. It took around 11.8 weeks for him to reach a weight of 268.36 pounds.

Let's use the given weight loss function
`\(W(t) = 285(0.995)^t\)` to answer the questions:

1. Weight after 9 weeks:

`\[W(9) = 285 * (0.995)^9 \approx 285 * 0.955 \approx 272.18 \text{ pounds}\]`

After 9 weeks, Malik weighed approximately 272.2 pounds.

2. Time to weigh 268.36 pounds:

Set W(t) equal to 268.36 and solve for t:

`\[268.36 = 285 * (0.995)^t\] \[(0.995)^t = (268.36)/(285)\]`

`\[t \approx (\ln\left((268.36)/(285)\right))/(\ln(0.995)) \approx 11.8 \text{ weeks}\]`

It took approximately 11.8 weeks for Malik to weigh 268.36 pounds.