Question

If you currently have $300 set aside for the trip and you're only able to save $75 a week, write an inequality representing how much you need to save if x is the number of weeks.

Answer 1

see the explanation

Explanation:

In this problem

I will assume that the total amount required for the trip is $1,200

so

Let

x ----> the number of weeks

we know that

The number of weeks multiplied by $75 plus $300 must be at least $1,200

In this context, the term "at least" means "greater than or equal to"

so

The linear inequality that represent this problem is

`75x+300\geq 1,200`

Solve for x

subtract 300 both sides

`75x\geq 1,200-300`

`75x\geq 900`

Divide by 75 both sides

`x\geq 12\ weeks`

therefore

The minimum number of weeks you need to save is 12