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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.

Sagot :

MrRoyalidn

Answer:

(a) The initial value is 40

(b) 510 Euros

Step-by-step explanation:

Given

[tex]M = 5x + 40[/tex]

Solving (a): The initial charge

A linear function is represented as:

[tex]y=mx + c[/tex]

Where c is the initial value

By comparison:

[tex]c = 40[/tex]

Hence: The initial value is 40

Solving (b): Amount charged for 94

Substitute 94 for x in [tex]M = 5x + 40[/tex]

[tex]M = 5 * 94 + 40[/tex]

[tex]M = 510[/tex]

510 euros for 94 orders

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