Question

You borrow $200 from a friend to help pay for a new laptop computer. You pay your friend $12 back per week. Write and solve an inequality to find when you will owe your friend less than $60

Answer 1

To determine when you'll owe less than 60 on a $200 loan repaid at 12 per week, write the inequality 200 - 12x < 60. Solving gives x > 11.67, meaning after 12 weeks, you'll owe less than 60.

Step-by-step explanation:

To find out when you will owe your friend less than $60 for the $200 borrowed for a new laptop, let's write an inequality representing the amount paid back over time. If 12 is paid back every week, the total amount paid after x weeks is 12x. The original amount owed was 200, so the remaining balance can be represented as 200 - 12x. We want to know after how many weeks this balance will be less than 60.

Here is the inequality to represent this:

200 - 12x < 60

Answer 2

what is borrowed - what is paid back < 60w = number of weeks 200 - 12w < 60200 < 60 + 12w140 < 12w11.66 < w You will owe less that $60 after week 12.