https://file.aiquickdraw.com/mathbot/file/17261633666237cz2ohc9.jpg

In this problem, we are working with two beaches where jet-ski rental costs vary depending on the location and time rented.

### Part (a) asks for equations for the cost at each beach:

- **Northern Beach**: The cost is a flat fee of $20, plus $12 for each hour rented. If $ t $ is the number of hours, the equation for the cost $ C $ is:
  \[
  C = 20 + 12 \times t
  \]

- **Southern Beach**: The cost is a flat fee of $8, plus $18 for each hour rented. If $ t $ is the number of hours, the equation for the cost $ D $ is:
  \[
  D = 8 + 18 \times t
  \]

### Part (b) asks to complete the cost table for the first 5 hours (t = 0 to 5) for both beaches.

Let’s use the equations above to fill out the table. 

1. **For the Northern Beach (C)**:
   \[
   C = 20 + 12 \times t
   \]
   Calculate the values for each $ t $:
   - $ t = 0 $: $ C = 20 + 12 \times 0 = 20 $
   - $ t = 1 $: $ C = 20 + 12 \times 1 = 32 $
   - $ t = 2 $: $ C = 20 + 12 \times 2 = 44 $
   - $ t = 3 $: $ C = 20 + 12 \times 3 = 56 $
   - $ t = 4 $: $ C = 20 + 12 \times 4 = 68 $
   - $ t = 5 $: $ C = 20 + 12 \times 5 = 80 $

2. **For the Southern Beach (D)**:
   \[
   D = 8 + 18 \times t
   \]
   Calculate the values for each $ t $:
   - $ t = 0 $: $ D = 8 + 18 \times 0 = 8 $
   - $ t = 1 $: $ D = 8 + 18 \times 1 = 26 $
   - $ t = 2 $: $ D = 8 + 18 \times 2 = 44 $
   - $ t = 3 $: $ D = 8 + 18 \times 3 = 62 $
   - $ t = 4 $: $ D = 8 + 18 \times 4 = 80 $
   - $ t = 5 $: $ D = 8 + 18 \times 5 = 98 $

These values can now be used to complete the table for both beaches. If you'd like me to calculate further or need details on any part of this, let me know!

---

Do you want more details or have any questions?  
Here are 5 related questions you might find interesting:

1. How do the costs at the two beaches compare after 3 hours of renting?
2. What is the break-even point where the costs for both beaches are equal?
3. How would the equations change if the rental times were limited to only 3 hours?
4. What happens to the costs if the hourly rate increases by 10% at each beach?
5. Can you graph the equations to visually compare the rental costs over time?

**Tip:** Always double-check for calculation errors, especially when dealing with multiple variables like cost and time.

The cost of hiring a jet-ski on northern beach is $20 plus $12 per hour, and on southern beach is $8 plus $18 per hour. The jet-skis can be rented for up to 5 hours. a) If C is the cost of renting at northern beach, D is the cost of renting at southern beach and t is the length of time the jet-skis are rented for, complete the equations below relating cost to the length of rental. b) Complete the table below for the first 5 hours (t=0-5) for both beach C and beach D.

Solve a problem involving the cost of renting jet-skis at two beaches using linear equations. Calculate costs for both the northern and southern beaches with detailed steps and a table of values for up to 5 hours. Perfect for middle school students learning linear functions.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation