Question

Katie and Rebecca are each trying to earn money to pay for their sports activities for next year. To help Katie earn money, her parents told her she could walk the dog every day of the week. Katie has $525 already saved. She earns $25 per week walking the dog. Her goal is to have $1250 to play on the soccer team. To help Rebecca earn money, her parents told her she could do the dishes each night of the week. Rebecca has $510 already saved. She earns $30 per week washing dishes. Her goal is to have $1350 to play on the hockey team. Determine whether Katie or Rebecca will need more weeks to reach their goal to participate in their sports activities. Use an inequality to graph the possible number of weeks that person will need in order to reach their goal.

Answer 1

Kate: 1250 ≥ 525+25x

25x ≥1250 -525

25x ≥ 725

x ≥  725 / 25

x≥ 29 weeks

Rebecca: 1350 ≥ 510 + 30x 

30x ≥ 1350 - 510

30x≥ 840

x≥ 840 / 30

x≥28 weeks
 Katie needs 1 more week than Rebecca