Consider the linear function f (x) = 25x + 150 for the following context.

Question

Sandra starts off with $150 in her bank account. If she saves $25 every week (Where x represents the number of weeks that she has been saving money), how much would Sandra have in her account after 14 weeks?

Answer 1

To find out how much Sandra would have in her bank account after 14 weeks, we can substitute \( x = 14 \) into the function \( f(x) = 25x + 150 \).

Calculating \( f(14) \):

\[ f(14) = 25(14) + 150 \]

First, calculate \( 25(14) \):

\[ 25 \times 14 = 350 \]

Now, add 150 to that amount:

\[ f(14) = 350 + 150 = 500 \]

Therefore, after 14 weeks, Sandra would have $500 in her bank account.