If a salesman averages a new order every other week, he will break the office record for the year. However, after 32 weeks he is four orders behind schedule. In what proportion of the remaining weeks does he have to obtain a new order to break the record?

Respuesta :

The proportion of remaining weeks that he has to obtain a new order to break the record is: 0.7 = 70%.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

He needs a new order every other week, that is, 0.5 orders per week, hence over one year = 52 weeks, the number of orders is:

O = 0.5 x 52 = 26 orders.

Over the first 32 weeks, the expected number was:

E = 0.5 x 32 = 16.

He was four orders behind schedule, that is, he had 12 orders, hence he needed 26 - 12 = 14 orders in the remaining 52 - 32 = 20 weeks, hence the proportion is:

p = 14/20 = 0.7.

More can be learned about proportions at https://brainly.com/question/24372153

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