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LUCKY_DIMON [66]
3 years ago
8

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?

Mathematics
2 answers:
faust18 [17]3 years ago
8 0
350÷10=35
350÷15=23 1/3 or 23.34
350÷20=17.50
350÷35=10
nasty-shy [4]3 years ago
6 0

Answer:

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

Step-by-step 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\frac{350}{10} = \$35

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

Number of students = 15

Bust cost per student =

\displaystyle\frac{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\frac{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\frac{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.

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Of 100 students,65 are members of a mathematics club and 40 are members of a physics club. if 10 are members of neither club the
alexandr1967 [171]

a. 15 students are members of both clubs

b. 50 students only are members of the mathematics club

c. 25 students only are members of the physics club

Step-by-step explanation:

The given is:

  • There are 100 students
  • 65 are members of a mathematics club
  • 40 are members of a physics club
  • 10 are members of neither club

We need to find how many students are members of

a. both clubs?

b. only mathematics club

c. only physics club

∵ The total number of students = 100

∵ 10 are members of neither club

- Subtract 10 from 100 to find the members of the mathematics

  club or the physics club

∵ 100 - 10 = 90

∴ There are 90 members of the mathematics club or physics club

∴ n(mathematics or physics) = 90

∵ 65 students are members of a mathematics club

∵ n(mathematics) = 65

∵ 40 students are members of a physics club

∴ n(physics) = 40

∵ n(mathematics or physics) = n(mathematics) + n(physics) - n(both)

∴ 90 = 65 + 40 - n(both)

∴ 90 = 105 - n(both)

- Add n(both) to each side

∴ n(both) + 90 = 105

- Subtract 90 from each side

∴ n(both) = 15

∴ 15 students are members of both clubs

a. 15 students are members of both clubs

∵ 65 students are members of the mathematics club

∵ 15 of them are members of the physics club

∴ n(mathematics only) = 65 - 15 = 50

∴ 50 students only are members of the mathematics club

b. 50 students only are members of the mathematics club

∵ 40 students are members of the physics club

∵ 15 of them are members of the mathematics club

∴ n(physics only) = 40 - 15 = 25

∴ 25 students only are members of the physics club

c. 25 students only are members of the physics club

Learn more:

You can learn more about word problems in brainly.com/question/8907574

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