Question

Charles has $1600 dollars in his account and makes automatic $400

monthly payments on a utility bill. Write a function using "f(x)=" to
represent the above situation. Do not type any spaces while writing your
equation.

Answer 1

To represent Charles's account balance after monthly utility payments, the function is f(x)=1600-400x. It models the decrease of $400 from the initial $1600 for each passing month.

Step-by-step explanation:

Charles has an initial amount of $1600 in his account, and he makes automatic monthly payments of $400 for a utility bill. To represent this situation as a function, we can define the function of his account balance after x months as f(x)=1600-400x.

This linear function shows that for each month that passes, $400 is subtracted from the starting amount of $1600. So, after 1 month, Charles will have f(1)=1600-400*1=$1200. After 2 months, he will have f(2)=1600-400*2=$800, and so on.

This will continue until his account balance runs out. This function will help Charles track his utility bill payments over the coming months.

Answer 2

1600(-400)= f is the y axis and -400 because its taking money from his account