Question

A charity organization is holding a food drive with a goal to collect at least 1,000 cans of food by the end of the month. It currently has 565 cans from donations and is having an event where 87 guests will attend and bring cans. Which solution set represents the number of cans each guest must bring to meet the goal?

A.)
B.)
C.)
D.)

Answer 1

Answer: D.

Explanation:

If they already have 565 cans and 87 will bring cans then we could represent it by the inequality

87x + 565
`\geq` 1000 where x is the number of cans each guest much bring to meet the goal. so solve for x.

87x + 565
`\geq` 1000

-565 -565

87x
`\geq` 435

x
`\geq` 5

since we now that x is 5 then A and C can't be answers.

B can't be an answer in this case because 5 is excluded but they actually need at least 1000 bottles so 5 needs to be excluded.