Question

Jacob needs to collect at least 120 cans for a food drive to earn community service credit. He has already collected 64 items.

Part A:
Write and solve an inequality to represent the number of cans, c, that Jacob must still collect.

Answer 1

An inequality that represent the number of cans, c, that Jacob must still collect is
`c\geq 56` .

Explanation:

Here we have , Jacob needs to collect at least 120 cans for a food drive to earn community service credit. He has already collected 64 items. We need to solve the following :

Part A:

Write and solve an inequality to represent the number of cans, c, that Jacob must still collect.

Jacob has collected 64 cans . Jacob need to collect at least 120 cans for a food drive to earn community service credit , Let Number of cans that Jacob have to collect is c , So following is the inequality for above scenario:

⇒
`c+64\geq 120`

⇒
`(c+64)-64\geq 120-64`

⇒
`c\geq 56`

Therefore , An inequality that represent the number of cans, c, that Jacob must still collect is
`c\geq 56` .