Question

Jasmine and Madison are comparing babysitting rates. Jasmine makes $2 for each child per hour. Madison makes a $10

base rate plus $4 per hour for any number of children. They defined x as the number of hours worked and y as the total
money each earned. If they both watch 3 children, which statements are true? Check all that apply.
The money Jasmine earns can be expressed as Y = 2X
The money Jasmine earns can be expressed as Y = 5(2X).
The money Madison earns can be expressed as Y = 4x+ 10.
The money Madison earns can be expressed as Y = 10X+4.
Jasmine will earn $6 for each hour worked.
Madison will earn $14 for each hour worked.
The independent variable is the number of hours worked.

Answer 1

The actual answers are B,C,E,G

Explanation:

I just took the test

Answer 2

The money Madison earns can be expressed as Y = 4x+ 10

Jasmine will earn $6 for each hour worked

Madison will earn $14 for each hour worked

The independent variable is the number of hours worked

Explanation:

Let

x ----> the number of hours worked

y ----> the total money earned

n ----> number of children

we know that

Jasmine

`y=n(2x)` ----> equation A

For n=3 children

The money Jasmine earns can be expressed as

`y=3(2x)`

For x=1 hour ---->
`y=3(2)(1)=\$6`

so

Jasmine will earn $6 for each hour worked

Madison

`y=4x+10` ----> equation B

For x=1 hour ---->
`y=4(1)+10=\$14`

so

Madison will earn $14 for each hour worked

Verify each statement

case 1) The money Jasmine earns can be expressed as Y = 2X

The statement is false (see the explanation)

case 2) The money Jasmine earns can be expressed as Y = 5(2X)

The statement is false (see the explanation)

case 3) The money Madison earns can be expressed as Y = 4x+ 10

The statement is true (see the explanation)

case 4) Jasmine will earn $6 for each hour worked

The statement is true (see the explanation)

case 5) Madison will earn $14 for each hour worked

The statement is true (see the explanation)

case 6) The independent variable is the number of hours worked

The statement is true

In this problem

The number of hours worked represent the independent variable or input value and the total money earned represent the dependent variable or output value