Question

Recycle

Here is a number machine.
input
x 5
- 3
output
Contr
Pane
a) Work out the output when the input is 8
(1)
I
Art
b) Work out the input when the output is 42
(2)
D &

Answer 1

(a) Output = 37

(b) Input = 9

Explanation:

Given

`y =x5 - 3`

Solving (a): Output, when input = 8

This means that, we solve for y when x = 8

So, we have:

`y =x5 - 3`

`y =8*5 - 3`

`y =40 - 3`

`y = 37`

Solving (b): Input, when output = 42

This means that, we solve for x when y = 42

So, we have:

`y =x5 - 3`

`42 = x5 - 3`

Collect like terms

`x5 = 42 + 3`

`x5 = 45`

Divide both sides by 5

`x = 9`