Question

Manuel wants to raise between $250 snd $350 for charity. his parents donated 70$. Manuel plans to ask others to contribute 10$ each. how many people will need to contribute for Manuel to reach his goal.

Write an inequality to solve the problem, what is the inequality?


Show your solution as a graph and explain your solution in words.

Answer 1

See below

Explanation:

Each person donates $10 plus the $70 he got must be at least $250.

10x + 70
`\geq` 250

10x
`\geq` 180

x
`\geq` 18. To get at least $250, 18 people need to contribute.

On the other side:

10x + 70
`\leq` 350

10x
`\leq` 280

x
`\leq` 28 To get $350, 28 people need to contribute.

Write the entire inequality as 250
`\leq` 10x + 70
`\leq` 350