Sophie is eyeing a new bicycle that costs $1,200. She earns $160 per week from her part-time job. Currently, she has saved up $400. What inequality represents the minimum number of weeks (w) Sophie needs to work to afford the bicycle?
The cost of the bicycle is $1,200.
She earns $160 per week from her part-time job.
She currently has saved up $400.
To afford the bicycle, she needs to earn enough money to cover the cost minus her savings and divide it by her weekly earnings.
The inequality to represent this is:
160w + 400 < 1,200
Where w represents the number of weeks she needs to work to afford the bicycle.