Question

PLEASE HELP ME!You have at most 34 minutes to workout. Your goal is to burn at least 600 calories during your workout. You lose 25 calories per minute on the treadmill, and 15 calories per minute lifting weights. PART A. Create a system of linear inequalities that represents this situation. PART B. Is it possible to jog for 16 minutes and lift weights for 16 minutes in and still meet your goal? Justify your answer.

Answer 1

Time in treadill: t

Time lifting weights: w

Number of burn calories (c) : at least 600

`c\ge600`

25 calories per minute on the treadmill, and 15 calories per minute lifting weights:

`c=25t+15w`

you have at most 34 minutes to workout:

`t+w\leq34`

Part A:

`\begin{gathered} 25t+15w\ge600 \\ t+w\leq34 \end{gathered}`

Part B:

t=16

w=16

`\begin{gathered} 25(16)+15(16)\ge600 \\ 400+240\ge600 \\ 640\ge600 \\ \\ \\ 16+16\leq34 \\ 32\leq34 \end{gathered}`

The calories you burn in the given times is 640 and it is greather than 600 you can reach the goal of at least 600 calories burn.

The given times sum 32 and it is less than the 34 minutes you have.

Then, yes it is possible to jog for 16 minutes and lift weights for 16 minutes in and meet your goal