QUESTION IMAGE
Question
a park charges $60 per vehicle just to enter the park, and $10 for each person in the car. fill in the table to find how much it costs for 2, 4, 5, and 8 people. use the calculator to help you solve.
number of people (p) | total cost (c) | cost per person ($)
2 | $ |
4 | $ |
5 | $ |
8 | $ |
Step1: Determine the cost formula
The park charges a fixed fee of $60 to enter (per vehicle) and $10 per person. So the total cost \( C \) for \( p \) people is given by the formula \( C = 60 + 10p \). The cost per person is \( \frac{C}{p}=\frac{60 + 10p}{p}=\frac{60}{p}+ 10 \).
Step2: Calculate for \( p = 2 \)
Total cost:
Substitute \( p = 2 \) into the total cost formula:
\( C=60 + 10\times2=60 + 20 = 80 \)
Cost per person:
\( \frac{80}{2}=40 \)
Step3: Calculate for \( p = 4 \)
Total cost:
Substitute \( p = 4 \) into the total cost formula:
\( C=60+10\times4 = 60 + 40=100 \)
Cost per person:
\( \frac{100}{4} = 25 \)
Step4: Calculate for \( p = 5 \)
Total cost:
Substitute \( p = 5 \) into the total cost formula:
\( C=60 + 10\times5=60 + 50 = 110 \)
Cost per person:
\( \frac{110}{5}=22 \)
Step5: Calculate for \( p = 8 \)
Total cost:
Substitute \( p = 8 \) into the total cost formula:
\( C=60+10\times8=60 + 80 = 140 \)
Cost per person:
\( \frac{140}{8}=17.5 \)
Filled Table:
| Number of people (\( p \)) | Total cost (\( C \)) | Cost per person (\$) |
|---|---|---|
| 4 | 100 | 25 |
| 5 | 110 | 22 |
| 8 | 140 | 17.5 |
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Step1: Determine the cost formula
The park charges a fixed fee of $60 to enter (per vehicle) and $10 per person. So the total cost \( C \) for \( p \) people is given by the formula \( C = 60 + 10p \). The cost per person is \( \frac{C}{p}=\frac{60 + 10p}{p}=\frac{60}{p}+ 10 \).
Step2: Calculate for \( p = 2 \)
Total cost:
Substitute \( p = 2 \) into the total cost formula:
\( C=60 + 10\times2=60 + 20 = 80 \)
Cost per person:
\( \frac{80}{2}=40 \)
Step3: Calculate for \( p = 4 \)
Total cost:
Substitute \( p = 4 \) into the total cost formula:
\( C=60+10\times4 = 60 + 40=100 \)
Cost per person:
\( \frac{100}{4} = 25 \)
Step4: Calculate for \( p = 5 \)
Total cost:
Substitute \( p = 5 \) into the total cost formula:
\( C=60 + 10\times5=60 + 50 = 110 \)
Cost per person:
\( \frac{110}{5}=22 \)
Step5: Calculate for \( p = 8 \)
Total cost:
Substitute \( p = 8 \) into the total cost formula:
\( C=60+10\times8=60 + 80 = 140 \)
Cost per person:
\( \frac{140}{8}=17.5 \)
Filled Table:
| Number of people (\( p \)) | Total cost (\( C \)) | Cost per person (\$) |
|---|---|---|
| 4 | 100 | 25 |
| 5 | 110 | 22 |
| 8 | 140 | 17.5 |