Question

2. A group of activists wants to raise money for a good cause, so they decide to sponsor a bicycle race. It receives $60 per cyclist entry and $15,000 in donations, but it must spend $18 per entry to cover the cost of the race.
Write and solve an inequality to determine the number of cyclists the group needs to raise at least $57,000. Be sure to define a variable and explain what your answer means in the context of the problem.

Answer 1

Answer

Step-by-step explanation:

• The number of cyclists the group needs to raise at least $57,000 must be at least 1000 cyclists
• Let x represent the number of cyclists.
• Since, the activists receive $60 per cyclist entry and $15,000 in donations, hence:
• Revenue = 60x + 15000
• Also, the cost of the race is $18 per entry, hence:
• Cost = 18x
• They need to raise at least $57,000, hence:
• Profit ≥ 57000
• Revenue - Cost ≥ 57000
• (60x + 15000) - 18x ≥ 57000
• 42x ≥ 42000
• x ≥ 1000
• Therefore the number of cyclists the group needs to raise at least $57,000 must be at least 1000 cyclists