A museum charges $30 for parking, plus $18 per person.

Question

Make a table to show how much it will cost for a car to come with 1, 2, and 3 people.

Number of People Cost
1
48

2
66

3
84

(b)
Is this relationship proportional?

A
Yes

B
No

Answer 1

Let's first create the cost table based on the museum's pricing structure:

1. The base cost for parking is $30.
2. Each person adds an additional cost of $18.

Now, let's calculate the total cost for 1, 2, and 3 people.

• For 1 person: \[ \text{Total cost} = 30 + (18 \times 1) = 30 + 18 = 48 \]

• For 2 people: \[ \text{Total cost} = 30 + (18 \times 2) = 30 + 36 = 66 \]

• For 3 people: \[ \text{Total cost} = 30 + (18 \times 3) = 30 + 54 = 84 \]

Now, let's complete the table:

| Number of People | Cost | |------------------|------| | 1 | 48 | | 2 | 66 | | 3 | 84 |

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(b) To determine if this relationship is proportional, we check if the ratio of the total cost to the number of people is constant.

The costs and number of people are as follows:

1. For 1 person: \[ \frac{48}{1} = 48 \]

2. For 2 people: \[ \frac{66}{2} = 33 \]

3. For 3 people: \[ \frac{84}{3} = 28 \]

The ratios (48, 33, and 28) are not constant, which indicates that the relationship is not proportional.

The answer is:

B. No