Inequality of lions in its habitat

Question

how do I write an inequality for instance: 

2 lions need at least 575 meters to live. Any addition lions need 175 meters. How many lions can live in a 1725 meter habitat?

Answer 1

Let a = the # of lions. Because the rest of the lions need the additional space...

 

a - 2 ≤ (1725 - 575)/175

a - 2 ≤ 1150/175

a ≤ 1150/175 + 2

a ≤ 8.57

 

So, 8 lions can live in the space.

 

6(175) + 575 = 1050 + 575 = 1625

 

1725 - 1625 = 100, so no more room for another lion.

Answer 2

Hi Michelle,

 

I am going to assume that you mean square meters, like an area.

 

2 lions occupy 575 m².

 

So, you can populate an additional 1725 - 575 = 1150 m².

 

If each additional lion requires 175 m², then 175n <= 1150, where n is a positive integer representing additional lions.

Divide both sides by 175, and get n <= 6.57

 

Lions come in integers, so, n <= 6 additional lions.