Question

Olivia is making model cars to go on shelves in her room. The number of wheels she uses is a function of how many cars she makes: if she makes 1 car, she uses 4 wheels; if she makes 2 cars, she uses 8 wheels; if she makes 3 cars, she uses 12 wheels; and so on. She has exactly 28 wheels she can use to make cars. What is the domain and range for the function?

Answer 1

Domain = 1 to 7

Range = 4 to 28

Explanation:

Given that:

Number of wheels used is a function of number of cars manufactured.

Number of wheels present = 28

1 car uses 4 wheels

2 cars use 8 wheels.

3 car uses 12 wheels

and so on.

Let the function be of the form:

`y =f(x)`

Domain of the function is the value of
`x` that can be given as valid input to the function.

Range of the function is the value of
`y` that can be output of the function.

Let
`x` be the number of cars manufactured.

Then value of
`y` is nothing but
`x` times 4.

`y=4x`

We are given that maximum value of
`y` can be 28.

`28 = 4x\\\Rightarrow x =7`

Therefore, maximum value of input can be 7.

Minimum number of wheels can be 4 to make a minimum of 1 car.

Therefore domain is 4 to 28 and range is 1 to 7.