Asked by Ej

In Beloy's fish ball factory, it costs 25 pesos to make 15 pieces of fishball while it costs 40 pesos to make 27 pieces. Assuming that the total cost is described by a linear function, how much does it cost to make 19 pieces of fishball?
Answered by Reiny
You are given 2 ordered pairs of the form
(fishballs, cost), they are (15,25) and (27,40)

just follow the same steps you would when finding any linear function
slope = (40-25)/(27-15) = 15/12 = 5/4

cost - 25 = (5/4)(fishballs - 15)
cost = (5/4)fishballs - 75/4 + 25
cost = (5/4)fishballs + 25/4

so when fishballs = 19
cost = (5/4)(19) + 25/4 = 30 pesos

or

using interpolation

15, 25
19, c
27, 40

(c-25)/(40-25) = (19-15)/(27-15)
(c-25)/15 = 4/12 = 1/3
3c - 75 = 15
3c = 90
c = 30

Answered by Anonymous
May I ask, how did you get 25 / 4
Answered by Ian Sol
75/4 + 25/1 = (75+100)/4=25/4
Answered by Anonymous
May I ask, where did you get the 75/4? It's confusing me
Answered by Anonymous
How did 75/4 + 25/1 became 25/4?
75/4+ 25/1 =175/4
forgive me for my ignorance but it confuses me.
Answered by Anonymous
(5/4)x(15)=75/4
Answered by Anonymous
But why did 5/4 retain? near the fishballs
Answered by Anonymous
Where did you get 3c?
Answered by Har har
5/4 is the slope. Thus, it remains
Answered by Abbi
How did 25 become the (b) or y intercept
Answered by Gabo
The reason why 75/4 + 25/17 became 25/4 is because the equation was "-75/4 + 25/1"
Which then becomes,
"-75/4 + 100/4"
Which equals to, "25/4"
You forgot the minus in the equation (or the negative) .
Hope it helped :)
Answered by Gabo
Correction:
"75/4 + 25/1"
But there was a negative sign, "-75/4 + 25/1"
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