Raul opened a savings account with 4300. Each week, x, Raul pays the dog sitter 30 from his savings account. Write a function, f(x), that is equal to the amount of money in the account after Raul pays the dog sitter each week.

Given:

Amount in the savings account = 4300

Each week, Raul pays the dog sitter 30 from his savings account.

To find:

The function, f(x), that is equal to the amount of money in the account after Raul pays the dog sitter each week.

Solution:

Let x be the number of weeks.

Raul pays the dog sitter in 1 week = 30

Raul pays the dog sitter in x week = 30x

Remaining amount = Initial amount - Amount he pays the dog sitter

Therefore, the required function is .

the quotient is 4x^2 - 27x + 167 with a remainder of -996

step-by-step explanation:

in synthetic division, use -6 as the divisor and use the coefficients {4, -3, 5, 6}:

-6     )   4     -3     5     6

                -24   162 -1002

          4   -27   167   -996

thus, the quotient is 4x^2 - 27x + 167 with a remainder of -996.

note:   your "4x°-3x+5x+6" is ambiguous / incomplete.   i had to assume that you meant '4x^3 - 3x^2 + 5x + 6."