A bank's monthly charge for maintaining an account is $.45 for each check written plus a service charge of $12.50. If x represents the number of checks written during the month, which function models this situation?

Question 2 options:

f(x) = 0.45x + 12.50

f(x) = 0.45x -12.50

f(x) = x + 12.50

f(x) = 12.50x + 0.45

Option: f(x) = 0.45x + 12.50

The correct function that models the situation is:

f(x) = 0.45x + 12.50

To model the situation described, we need to consider two components: the charge for each check written and the fixed service charge.

The charge for each check written is given as $0.45x, where x represents the number of checks written during the month. This means that the charge for x checks would be 0.45 times x.

The fixed service charge is $12.50. This charge remains the same regardless of the number of checks written.

To combine these two components, we add them together. Therefore, the function that models this situation is:

f(x) = 0.45x + 12.50

So, the correct answer is: f(x) = 0.45x + 12.50