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?

Question

A. 400w + 160w ≥ 1200

B. 400 + 160w ≥ 1200

C. 400w + 160w ≤ 1200

D. 400 + 160w ≤ 1200

Answer 1

To afford the bicycle, Sophie needs to save up $1,200 - $400 = $<<1200-400=800>>800.
Since Sophie earns $160 per week from her job, the inequality representing the minimum number of weeks (w) she needs to work is:
160w ≥ 800
Dividing both sides of the inequality by 160, we get:
w ≥ 5
So the answer is: D. 400 + 160w ≤ 1200