Question

The choir is planning a trip to the water park. The cost to use a school bus is $350. Complete the table at the right then graph your result. Is this a proportional relationship?

Answer 1

350÷10=35
350÷15=23 1/3 or 23.34
350÷20=17.50
350÷35=10

Answer 2

10 students: Bus cost per student is $35

15 students: Bus cost per student is $23.24.

20 students: Bus cost per student is $17.5

35 students: Bus cost per student is $10

Explanation:

We are given the following information in the question:

Cost to use school bus = $350

Bus cost per student =

`\displaystyle\frac{\text{Total Cost}}{\text{Number of students}}`\

Number of students = 10

Bust cost per student =

`\displaystyle(350)/(10) = \$35`

When there are 10 students the bus cost per student is $35.

Number of students = 15

Bust cost per student =

`\displaystyle(350)/(15) = \$23.34`

When there are 15 students the bus cost per student is $23.34.

Number of students = 20

Bust cost per student =

`\displaystyle(350)/(20) = \$17.5`

When there are 20 students the bus cost per student is $17.5.

Number of students = 35

Bust cost per student =

`\displaystyle(350)/(35) = \$10`

When there are 35 students the bus cost per student is $10.

The attached image shows a plot for the given situation.

No, the given relationship in not proportional. If two quantities are proportional, then they have a constant ratio, which cannot be said for the given scenario.