Question

M-Line is a company that prints and sells custom designs on T-shirts. For each order, they charge an initial design fee and then an additional fee for each printed T-shirt.

M-Line charges M euros per order. This charge is modelled by the linear function Mx=5x+40, where x is the number of T-shirts in the order.
Write down the initial design fee charged for each order.
The initial design fee charged per order is 40

1b. [2 marks]
Find the total amount charged for an order of 94 T-shirts.

Answer 1

(a) The initial value is 40

(b) 510 Euros

Explanation:

Given

`M = 5x + 40`

Solving (a): The initial charge

A linear function is represented as:

`y=mx + c`

Where c is the initial value

By comparison:

`c = 40`

Hence: The initial value is 40

Solving (b): Amount charged for 94

Substitute 94 for x in
`M = 5x + 40`

`M = 5 * 94 + 40`

`M = 510`

510 euros for 94 orders