Consider the linear function f(x)=25x+150

Question

for the following context. 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 determine how much Sandra has in her bank account after 14 weeks, we can use the linear function \( f(x) = 25x + 150 \).

Here, \( x \) represents the number of weeks, so we will substitute \( x = 14 \) into the function:

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

Now, calculate \( 25 \times 14 \):

\[ 25 \times 14 = 350 \]

Now we will add this result to 150:

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

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