Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

part b a rowing team rented a boat from a company that charged $60 per …

Question

part b
a rowing team rented a boat from a company that charged $60 per day to rent the boat. the boat rental company gave the rowing team a discount of $10 off for every 4 days of rental. the team rented a boat for 12 days. their coach paid 35% of the total discounted rental cost. the remaining rental cost was divided equally among the 15 team members.

  • determine the cost for the coach to rent the boat.
  • determine the cost per team member to rent the boat.
  • show your work or explain your reasoning.

Explanation:

Step1: Calculate base rental cost

$\text{Base Cost} = 12 \times 60 = 720$

Step2: Calculate total discount

Number of 4-day blocks: $\frac{12}{4}=3$
$\text{Total Discount} = 3 \times 10 = 30$

Step3: Calculate discounted total cost

$\text{Discounted Cost} = 720 - 30 = 690$

Step4: Calculate coach's payment

$\text{Coach's Cost} = 0.35 \times 690 = 241.5$

Step5: Calculate member-shared cost

$\text{Member Total Cost} = 690 - 241.5 = 448.5$

Step6: Calculate cost per team member

$\text{Cost per Member} = \frac{448.5}{15} = 29.9$

Answer:

  • Cost for the coach to rent the boat: $\$241.50$
  • Cost per team member to rent the boat: $\$29.90$