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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.

Respuesta :

calculista

Answer:

see the explanation

Step-by-step 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

[tex]75x+300\geq 1,200[/tex]

Solve for x

subtract 300 both sides

[tex]75x\geq 1,200-300[/tex]

[tex]75x\geq 900[/tex]

Divide by 75 both sides

[tex]x\geq 12\ weeks[/tex]

therefore

The minimum number of weeks you need to save is 12

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