Question

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.

Answer 1

@dude

Answer 2

i know theres another answer, but i have this one for sure

Answer 3

i got another one

Answer 4

Oh wait is that a copy pasta fraction error?

`The number of new bicycles must be more than 13 times the number of new treadmills.`
is supposed to be
`The number of new bicycles must be more than 1/3 times the number of new treadmills.`?

Answer 5

oh yeah i forgot about that XD

Answer 6

yes its 1/3

Answer 7

Well the answer is that sentence, turn it into an inequality

Answer 8

is that all or am i missing something

Answer 9

Well although its not the first thing people check for you should always check if the y>0 and x>0 work with the two equations

Right off the bat

x cannot be 0 because
\(\large 0\cancel{>}\frac13y\)

For y you have to note that the question states that Micah needs to build both
` Micah needs both stationary bicycles and treadmills in his gym.`
This means y cannot be 0 (as well as x)

Answer 10

so did i get all of them

Answer 11

No

y>0 and x>0 should also be selected

Answer 12

Good