The doctor tells Laura she needs to exercise enough to burn 500 calories each day. She prefers to either run or bike and burns 15 calories per minute while running and 10 calories a minute while biking. a. If x is the number of minutes that Laura runs and y is the number minutes she bikes, find the inequality that models the situation. b. Graph the inequality. c. List three solutions to the inequality. What options do the solutions provide Laura?

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter3: Graphs And Functions
Section3.4: Graph Linear Inequalities In Two Variables
Problem 279E: The doctor tells Laura she needs to exercise enough to burn 500 calories each day. She prefers to...
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The doctor tells Laura she needs to exercise enough to burn 500 calories each day. She prefers to either run or bike and burns 15 calories per minute while running and 10 calories a minute while biking.

a. If x is the number of minutes that Laura runs and y is the number minutes she bikes, find the inequality that models the situation.

b. Graph the inequality.

c. List three solutions to the inequality. What options do the solutions provide Laura?

 

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