SOLUTION: You burn 180 calories per hour walking and 260 calories per hour bicycling. You can exercise for a total of 8 hours this week and hope to burn 1800 calories. Let w be the number of

Algebra ->  Inequalities -> SOLUTION: You burn 180 calories per hour walking and 260 calories per hour bicycling. You can exercise for a total of 8 hours this week and hope to burn 1800 calories. Let w be the number of      Log On


   

Question 1105693: You burn 180 calories per hour walking and 260 calories per hour bicycling. You can exercise for a total of 8 hours this week and hope to burn 1800 calories. Let w be the number of hours you spend walking.
a. Write an inequality that describes the situation. Your inequality should involve only one variable,w.
b. You spend the same amount of time doing each exercise. Will you meet your goal? Explain.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
CONSTANT RATES SITUATION
RT=Q for constant rate R, time quantity T, amount of something done Q. 

                   SPEED           TIME           CALORIES
WALKING             180                           
BICYCLE             260
TOTALS                              8              1800


Hope to burn 1800?
Can do Total of 8 hours?
Use w for number of hours spent walking: 

                   SPEED           TIME           CALORIES
WALKING             180             w               180w                        
BICYCLE             260            8-w           260(8-w)
TOTALS                              8              1800


You can form the inequality highlight_green%28180w%2B260%288-w%29%3C=1800%29.
Simplify and solve this for w...