Final answer:
To determine the amount each office would receive from the budget, a function g(x) is constructed where g(x) = Total Budget / Number of Offices. For 17 offices, each would receive Php 58,823.53, and for 23 offices, it's Php 43,478.26.
Step-by-step explanation:
The student wishes to find out how the total budget of Php 1,000,000.00 would be allotted per office if it is to be divided equally among x offices. To address this, we first need to construct a function g(x), which represents the amount of money each office would receive.
Since the budget is to be divided equally among the offices, we can express this as:
g(x) = Total Budget / Number of Offices
g(x) = 1,000,000 / x
Calculating for Specific Office Counts
- If there are 17 offices, then each office would receive g(17) = 1,000,000 / 17, which is approximately Php 58,823.53.
- If there are 23 offices, then each office would receive g(23) = 1,000,000 / 23, which is approximately Php 43,478.26.