Friends and I have been trying to figure out how to set up the equation and graph it.

Question

You have 40 minuets to exercise at the gym, and you want to burn 300 calories total using both machines. How much time should you spend on each machine? 

 

Elliptical Trainer: 8 calories per minuet 

 

Stationary Bike: 6 calories per minuet

 

P.S. we know you spend 30 minuets on the elliptical and 10 minuets on the stationay bike. 

Answer 1

T represents time on trainer

40 - T represents time on bike

 

8T + 6(40 - T) = 300           distribute

8T + 240 - 6T = 300            combine like terms

2T + 240 = 300                  subtract 240 from both sides

2T = 60                             divide both sides by 2

T = 30

 

You should spend thirty minutes on the trainer and ten minutes on the bike.