A lion needs to eat at least 15 pounds of food each day. The zoo feeds the lion using canisters that each contain 3 pounds of food. The lion has already consumed 9 pounds of food. How many more canisters x of food does the lion need to eat? Write your answer as an inequality.

Your inequality will be x≥2.

15-9=6. The canisters hold 3 pounds each, so 6/3=2. He will need 2 canisters. BUT the problem says he needs to eat AT LEAST 15 pounds, so that's were the ">" part of "≥"comes in.

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jajumonac jajumonac · Answer 2 · 2020-01-28T04:35:41+01:00

Answer:

[tex]x\geq 2[/tex]

Step-by-step explanation:

"A lion needs to eat at least 15 pounds of food each day". This statement can be expressed

[tex]L\geq 15[/tex]

Where [tex]\geq[/tex] expresses "at least".

We know that each canister is 3 pounds. So, if the lion already consumed 9 pounds of food that means

[tex]3x=9\\x=\frac{9}{3}=3[/tex]

Where [tex]x[/tex] represents canisters. So, the lion already ate 3 canisters.

This means the Lion still needs 6 more pounds, so

[tex]3x=6\\x=\frac{6}{3}=2[/tex]

Which means that the Lion needs at least 2 more canisters to be eat at least 15 pounds, that is

[tex]x\geq 2[/tex]

Where [tex]x[/tex] represents canisters. So, this inequality states that the Lion has to eat at least 2 more canisters to get all 15 pounds of the day.