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 modeled by the lunar function M (x) = 5x + 40, where x is the number of t shirts in the order. Write down the initial design fee charged for each order.

Answer 1

The initial design fee charged per order is 40

Explanation:

From the question, we are told that the company charges an initial design fee then additional fee for each printed t shirt

Therefore, if the cost of an order is y, we have;

y = m·x+i

Where:

i = Initial design charge

m = additional fee for each printed shirt

x = number of shirts

Comparing the above equation with the given equation we have

y = m·x + i

M (x) = 5·x + 40

Hence, where M(x) = y = Charge per order, then it is noted that the coefficient of x is the additional fee per printed shirt, therefore, the initial design fee charged per order, i is equivalent to 40

Hence the initial design fee charged per order = 40.