SOLUTION: A woman works out by running and swimming. When she runs, she burns 7 calories per minute. When she swims, she burns 8 calories per minute. She wants to burn at least 336 calorie

Algebra ->  Test -> SOLUTION: A woman works out by running and swimming. When she runs, she burns 7 calories per minute. When she swims, she burns 8 calories per minute. She wants to burn at least 336 calorie      Log On


   



Question 1075271: A woman works out by running and swimming. When she runs, she burns 7 calories per minute. When she swims, she burns 8 calories per minute. She wants to burn at least 336 calories in her workout. Write an inequality that describes the situation. Let x represent the number of minutes running and y the number of minutes swimming. Because x and y must be positive, limit the boarders to quadrant I only.
PS I chose test because I am not sure what section inequalities go in.
Pls provide step by step answer

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
r=run (x-axis) and s=swim (y-axis)
7r+8s>=336
8s>=-7r+336
x>=-(7/8)r+42
This is a solid line. If you put in 0,0 for r,s respectively, the inequality doesn't work, so that side of the line is not what you want, it is the other. Everything above the line in the first quadrant works.
graph%28300%2C300%2C-2%2C10%2C-20%2C100%2C%28-7x%2F8%29%2B42%29