Question

I need the Answers for these and an explanation thank you

Answer 1

According to the given image, the function consists of multiplying the input value by 3, then we sum 3 to get the output value. So, the equation for this function would be

`y=5x+3`

Now, we solve the equation for x, first, we subtract 3 on each side.

`\begin{gathered} y-3=5x+3-3 \\ y-3=5x \end{gathered}`

Then, we divide the equation by 5.

`\begin{gathered} (y-3)/(5)=(5x)/(5) \\ x=(y-3)/(5) \end{gathered}`

We use each output value to find each input value.

For y = 13.

`x=(13-3)/(5)=(10)/(5)=2`

The first input is 2.

For y = 28.

`x=(28-3)/(5)=(25)/(5)=5`

The second input is 5.

For y = 33.

`x=(33-3)/(5)=(30)/(5)=6`

The third input is 6.

For y = 48.

`x=(48-3)/(5)=(45)/(5)=9`

The fourth input is 9.

Therefore, the input values are 2, 5, 6, and 9.