Ijust need figuring out what numbers mean because i'm dumb.
this is the situation:
"when the taco truck charges $4 for a taco, it sells an average of 60 tacos in one day. with every $1 increase in the price of a taco, the number of tacos sold per day decreases by 7. the owner can calculate the daily revenue using the polynomial expression -7x^2 + 32x + 240, where x is the number of $1 increases in the taco price."

i need to know what the 32 is supposed to represent, and what the 240 represents.

f(x) = -7x² + 32x + 240

f(0)=240

Answer for 240:  The 240 is the revenue at the regular price, a $0 increase.   It comes from 60 tacos at $4 a pop.

When we add $1 to the price we sell 53 tacos, 7 fewer.

Our revenue is 5*53 = 265

That matches f(1):

f(1) = -7 + 32 + 240 = 265

Let's see how to figure out f(x),

f(0)=4(60)=240

f(1)=5(60-7) = 265

f(2) = 6(60-2(7)) = 276

So in general,

f(n) = (n+4)(60 - 7n)

f(n) = 60n - 7n² - 28n + 240

f(n) = -7n² + 32n + 240

We see the 32n comes from 60n, which is the amount of additional money if we still sold 60 tacos at the new price, less 28n, which is the amount of money we didn't get at the original price because we raised the price.

32 is $60, the original taco count times $1 , less $28, which is 7 fewer times the original price of $4.

i am currently in the exact same situation rn. algebra2/adv algebra is killing

step-by-step explanation: