Question

Tutor !! find the correct function which can be use to determine the amount after ,x ,months.

Answer 1

Given:

The intial amount with Kimberly is, I = $500.

The savings amount each month is, s = $50.

The objective is to find the correct function which can be use to determine the amount after x months.

Explanation:

Since, the intial amount is already fixed. But the saving amount is added for each month upto x months.

Then, the monthly saving can be expressed as,

$\begin{gathered} M=x\times50 \\ M=50x \end{gathered}$

To find function:

Now, the total savings as a function can be calculated as,

$\begin{gathered} f(x)=I+M \\ =500+50x \end{gathered}$

Thus, the required function to calculate the amount after x months is f(x) = 50x+500.

Hence, the correct answer is option (C).