A local movie theater found that if the admission was $13, the attendance was about 1900 customers per day. When the price of admission was dropped to $7, attendance increased to about 3000 per day. Write a linear equation for the attendance in terms of price, p. (A=mp+b)

Question

Ok this is what i got

A-3000-1900/7-13
= -550/3
A-1900=-550/3(P-13)
A-1900=-550/3P+7150/3

And it says the answer is

-550/3p+12850/3
I'm confused with how they got 12850/3 instead of 9050/3 because if you add 1900 and 7150 that's what u get..

thanks in advance

Reiny · Answer

let's take it from
A-1900=-550/3(P-13) , which is correct

I usually try to eliminate my fractions, so I will multiply by 3
3A - 5700 = -550(P-13)
3A - 5700 = -550P + 7150
3A = -550P + 7150 + 5700
3A = -550P + 12850
A = (-550/3)P + 12850/3