Question

Michael has $8000 saved but needs to pay his car payment each month which is $250. He also paid off his credit card balance which was $1200. He wants to make sure his savings account does NOT go below $2000 in case of emergencies. How many months can Michael successfully pay off his car?If 20 month go by does Michael have enough to pay? YES or NO If 17 months go by does Michael have enough to pay ? YES or NO

Answer 1

Michael has $8000 saved but needs to pay his car payment each month which is $250. He also paid off his credit card balance which was $1200. He wants to make sure his savings account does NOT go below $2000 in case of emergencies.



How many months can Michael successfully pay off his car?



If 20 month go by does Michael have enough to pay? YES or NO



If 17 months go by does Michael have enough to pay ? YES or NO



we have that

Let

x -----> number of months

`8,000-250x-1,200\leq2,000`

this is the inequality that represent this ssituation

solve for x

`\begin{gathered} 8,000-250x-1,200\leq2,000 \\ -250x\leq2,000-6,800 \\ -250x\leq-4,800 \\ \text{Multiply by -1 both sides} \\ 250x\ge4,800 \\ x\ge19.2 \end{gathered}`

that means, that 19 weeks is the maximum number of weeks to make sure his savings account does NOT go below $2000

therefore

if 20 month go by does Michael have enough to pay? YES or NO

answer is NO

If 17 months go by does Michael have enough to pay ? YES or NO

answer is yes