Answer:
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
Step-by-step explanation:
Let
x ----> the number of hours worked
y ----> the total money earned
n ----> number of children
we know that
<em>Jasmine</em>
----> equation A
For n=3 children
The money Jasmine earns can be expressed as

For x=1 hour ----> 
so
Jasmine will earn $6 for each hour worked
<em>Madison</em>
----> equation B
For x=1 hour ---->
so
Madison will earn $14 for each hour worked
<u><em>Verify each statement</em></u>
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