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.

$\begin{gathered} \frac{y-3}{5}=\frac{5x}{5} \\ x=\frac{y-3}{5} \end{gathered}$

We use each output value to find each input value.

For y = 13.

$x=\frac{13-3}{5}=\frac{10}{5}=2$

The first input is 2.

For y = 28.

$x=\frac{28-3}{5}=\frac{25}{5}=5$

The second input is 5.

For y = 33.

$x=\frac{33-3}{5}=\frac{30}{5}=6$

The third input is 6.

For y = 48.

$x=\frac{48-3}{5}=\frac{45}{5}=9$

The fourth input is 9.

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