Micah's gym is moving into a bigger space, where he can have more stationary bicycles and treadmills. micah needs both stationary bicycles and treadmills in his gym. let x be the number of bicycles and y be the number of treadmills. the number of new bicycles must be more than 13 times the number of new treadmills. each bicycle costs $340 and each treadmill costs $670. he must spend less than $5,650. select all of the constraints for this situation.

Question

Mathematics

Duncan Chaney

23 February, 15:25

Micah's gym is moving into a bigger space, where he can have more stationary bicycles and treadmills. micah needs both stationary bicycles and treadmills in his gym. let x be the number of bicycles and y be the number of treadmills. the number of new bicycles must be more than 13 times the number of new treadmills. each bicycle costs $340 and each treadmill costs $670. he must spend less than $5,650. select all of the constraints for this situation.

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Answers (1)

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Maddox Hardy · Answer 1

X = the number of bicycles

y = the number of treadmills

The number of new bicycles must be more than 13 times the number of new treadmills, therefore

x > 13y (1)

Each bicycle costs $340 and each treadmill costs $670. The total cost must be less than $5,650, therefore

340x + 670y < 5650 (2)

Inequalities (1) and (2) express the constraints for the situation.

Answer:

x > 13y

340x + 670y < 5650