1. A company has a budget of PhP 90, 000 to be split evenly among its various offices. The marketing office of the company receives twice the amount of money than the other offices.
a. Given x as the number of offices in the company, construct a function f(x) which would give the amount of money each of the non-marketing offices would receive.
b. If the company had five offices, how much would the marketing office receive? How much would each of the non-marketing offices receive?
Answers
Given : A company has a budget of PhP 90, 000 to be split evenly among its various offices . The marketing office of the company receives twice the amount of money than the other offices.
To Find : a. Given x as the number of offices in the company, construct a function f(x) which would give the amount of money each of the non-marketing offices would receive.
b. If the company had five offices, how much would the marketing office receive? How much would each of the non-marketing offices receive?
Solution:
x = number of the offices
non-marketing office = x - 1
marketing office = 1
Let say each non-marketing office receives amounts = A = f(x)
=> x - 1 non-marketing office receives amounts = (x - 1)A
The marketing office of the company receives twice the amount of money than the other offices.
=> 2A
Total amount = (x-1)A + 2A = (x + 1)A = 90000
=> A = 90000/(x + 1)
f(x) = 90000/(x + 1)
a function f(x) which would give the amount of money each of the non-marketing offices would receive.
f(x) = 90000/(x + 1)
company had five offices
=> x = 5
f(x) = 90000/(5 + 1) = 15000
each of the non-marketing offices receive = 15000
marketing office receive = 2 (15000) = 30000
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