Afamous fast food chain opened two branches in different parts of a city. branch a made a profit of $50,000 in the first year, and the profit increased by 4% every year. branch b made a profit of $35,000 in the first year, and the profit increased by 5.5% every year.

which function can the fast food chain use to determine its total profit, p(x), after x years, and how much money will the chain have made in profit after 4 years?

The function would be,

The approximate total profit after 4 years is $ 97341.65.

Step-by-step explanation:

Given,

For branch A,

First year profit = $ 50,000,

And, the profit increased by 4% every year.

Thus, the profit of branch A after x years,

Also, for branch B,

First year profit = $ 35,000,

And, the profit increased by 5.5% every year.

Thus, the profit of branch B after x years,

Hence, the total profit,

Which is the required function.

After 4 years, x = 3,

Therefore, the total profit after 4 years would be,

f(x) = x^3 -2x^2 -3x

x( x^2 -2x-3)

x( x^2 +x -3x -3)

x( x(x+1) -3(x+1))

x( x-3)( x+1)

so zeroes are 0, 3,-1

its (2) option