(a) To calculate the total cost for a car to come with 1, 2, and 3 people, we can use the formula:
\[ \text{Total Cost} = \text{Parking Cost} + (\text{Cost per Person} \times \text{Number of People}) \]
Given that the parking cost is $30 and the cost per person is $18, we can compute the costs for different numbers of people:
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For 1 person: \[ \text{Total Cost} = 30 + (18 \times 1) = 30 + 18 = 48 \]
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For 2 people: \[ \text{Total Cost} = 30 + (18 \times 2) = 30 + 36 = 66 \]
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For 3 people: \[ \text{Total Cost} = 30 + (18 \times 3) = 30 + 54 = 84 \]
Now we can fill out the table:
| Number of People | Cost | |------------------|------| | 1 | 48 | | 2 | 66 | | 3 | 84 |
(b) Is this relationship proportional?
A. Yes
B. No
The answer is B. No.
(c) To explain how the museum could make an adjustment to their ticket policy to make it proportional:
For the relationship to be proportional, the total cost should be a constant multiple of the number of people alone, without the addition of a fixed charge. This means removing the fixed parking cost and charging only based on the number of people.
One way to adjust their policy would be for the museum to eliminate the $30 parking fee and charge $18 per person only, or adjust the pricing structure so that the total cost can be expressed inversely as a constant multiplied by the number of people. For example, charging $18 per person with no additional fees would create a proportional relationship.
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