Question

David requires at least $300 to hold his birthday party. If David can save $63 a month, how many months will he need to save to be able to afford his birthday party?

a. Write an inequality that describes this situation.

b. Solve the inequality. Show all your work.

c. Write your answer in a complete sentence.

Answer 1

a.
`63x \geq 300`

b.
`x \geq 4.76`
`or`
`x\geq 5`

c. For David to achieve three hundred dollars, he would have to save approximately 5 months

Explanation:

A. David requires three hundred dollars, this is his goal, indicating the three hundred must be alone. For the inequality sign, the statement says that he "requires at least $300", meaning that he would have to maintain three hundred dollars or his amount could go greater than $300. Therefore, the inequality sign should be "≥" or "greater than or equal to". We also know that David can save 63 dollars per month, meaning that there should be a variable next to 63 so we could replace "x" with any number to solve our inequality. This should leave us with the following inequality :

63x ≥ 300

B. To solve the inequality, we need to get x alone, to do so, divide 63 by both sides,

`(63x)/(63) \geq (300)/(63)`

`x \geq 4.76`

To make it easier, we can round "4.76" to 5.

`x \geq 5`

C. Already shown in the answer spot