Question

You have a small business making and delivering box lunches. You calculate your average weekly cost y of producing x lunches using the function y = 2.1x + 75. Last week your cost was $600. How many lunches did you make last week?

Answer 1

250 lunches are produced by the small business in last week.

Explanation:

It is given that,

• y ⇒ the average cost per week.
• x ⇒ the number of lunches produced per week.

The function relating these two factors x and y is given as y = 2.1x + 75

• The cost of the last week is y = $600.
• The lunches made last week is x = unknown.

To find the value of x :

Substitute y= 600 in the given function,

⇒ 600 = 2.1x + 75

⇒ 2.1x = 600 - 75

⇒ x = 525 / 2.1

⇒ x = 250

Therefore, the lunches prepared last week is 250.