EXPLANATION
The percentage of 5 years old that received a full or partial subsidy is given by the following expression:
a.
[tex]\text{Full or }partial\text{ subsidy=}\frac{49+11}{78}=\frac{60}{78}=0.77[/tex]b.
No-subsidy:
[tex]No\text{ subsidy=}\frac{18}{49+11+18}=\frac{18}{78}=0.23[/tex]c. 4 years old Full subsidy:
[tex]4\text{ years old full subsidy percentage=}\frac{22}{26+22+49}=\frac{22}{97}=0.23[/tex]d. Percentage of children that are 5 years old:
[tex]=\frac{49+11+18}{26+40+38+22+38+13+49+11+18}=\frac{78}{255}=0.3[/tex]e.
Since the expression of funding is:
Funding = 1530f + 1750p + 1875n
Number of children receiving full subsidy f =
[tex]=\frac{26+22+49}{26+22+49+40+38+11+38+13+18}=\frac{97}{255}=0.38[/tex]Number of children receiving partial subsidy=
[tex]=\frac{40+38+11}{26+22+49+40+38+11+38+13+18}=\frac{89}{255}=0.35[/tex]Number of children receiving no subsidy:
[tex]=\frac{38+13+18}{26+22+49+40+38+11+38+13+18}=\frac{69}{255}=0.27[/tex]Thus, f=0.38, p=0.35 and n=0.27
Plugging in into the equation:
[tex]=1530\cdot0.38+1750\cdot0.35+1875\cdot0.27=581.4+612.5+506.25=1700[/tex]In conclusion, the center's federal funding was of $1,700
