Question

Tim is trying to save $160 to buy a new gaming system right now he has $40 and can save $30 a week from his allowance Tim is not sure how many weeks he will have to wait until he can by his gaming system Write in evaluate an inequality to represent the situation At what week will he have enough money. Answer choices.•6 weeks•5 weeks•4 weeks• 3 weeks

Answer 1

Let x represent the number of weeks he needs

Given that he can save $30 per week, it means that in x weeks, he can save $30x

We were also told that he already has $40. This means that the total amount that he has afterx weeks is

30x + 40

Given that Tim is trying to save $160 to buy a new gaming system, it means that the amount that he need is greater than or equal to $160

Thus, the inequality representing this situation is

`\begin{gathered} 30x\text{ + 40 }\ge\text{ 160} \\ 30x\text{ }\ge160\text{ - 40} \\ 30x\text{ }\ge120 \\ x\text{ }\ge(120)/(30) \\ x\ge\text{ 4} \end{gathered}`

After 4 weeks, he will have enough money.