https://file.aiquickdraw.com/mathbot/file/1727881150654nufzs1us.jpg

Let's work through the questions based on the provided image.

### 3.1.1
To complete the table, we need to determine the cost of parking \( P \) at P6 for 12, 24, 36, and 48 hours. The equation for the cost of parking is:

### 3.1.2
The given general equation for the cost of parking at P6 is:
\[ \text{Cost of parking} = \text{price for first 24 hours} + \text{number of 12 hours} \times \text{price for every 12 hours thereafter} \]

Let's rewrite the equation with the specific values:
\[ \text{Cost of parking} = a + n \times b \]
Where:
- \( a \) is the cost for the first 24 hours.
- \( b \) is the cost for every subsequent 12-hour period.
- \( n \) is the number of 12-hour periods after the initial 24 hours.

### 3.1.3
To calculate the cost of parking at P6 for 26 hours, use the equation:
\[ \text{Cost of parking} = a + \left(\left\lfloor\frac{26 - 24}{12}\right\rfloor \times b\right) \]
Here, we only have one 12-hour period after the initial 24 hours:
\[ \text{Cost of parking} = a + 1 \times b \]

### 3.1.4
Referring to the information on Parkade P7 (we'll assume the missing information from P7 is provided here):

#### a) How many hours are there in 3 full days?
\[ 3 \times 24 = 72 \text{ hours} \]

#### b) How much are you paying for the first 24 hours at P7?
Assume \( a \) is given.

#### c) How many 12 hours are there in 2 full days?
\[ 2 \times 24 / 12 = 4 \text{ 12-hour periods} \]

#### d) What price will you pay for every 12 hours after the first 24 hours?
Assume \( b \) is given.

#### e) Calculate the cost of parking for 3 full days at P6 and P7.
For P6:
\[ \text{Cost of parking} = a + 4 \times b \]

For P7, assuming similar pricing structure.

#### f) Which Parkade would be cheaper and by how much?
Compare the total costs for 72 hours parking at both Parkades.

### Table Completion (Assuming \( a \) and \( b \) are known values):

\[
\begin{array}{|c|c|c|c|c|}
\hline
\text{(H) Number of hours} & \text{12 hours} & \text{24 hours} & \text{36 hours} & \text{48 hours} \\
\hline
\text{(P) Cost of parking} & \text{a/2} & \text{a} & \text{a + b} & \text{a + 2b} \\
\hline
\end{array}
\]

Would you like any further details or have any questions?

### Relative Questions
1. How would the parking cost change if the price for every 12 hours increased?
2. What would be the cost for parking for 60 hours?
3. How does the cost calculation change if the first 24 hours are charged at a different rate than subsequent hours?
4. How would you graph the parking cost over a period of 48 hours?
5. What other factors could affect the total parking cost in a real-life scenario?

### Tip
Always break down the problem into smaller parts and solve step-by-step to ensure accuracy in complex calculations.

Complete the table to determine the cost (P) of parking at P6 for 12, 24, 36, and 48 hours. Use the given equation to calculate the cost for each duration and additional related questions.

Learn how to calculate the cost of parking using an algebraic equation for different time intervals like 12, 24, 36, and 48 hours. This problem involves linear equations and arithmetic concepts suitable for high school students in grades 9-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation