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

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?(1 point)

1 answer

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

Substituting \( 14 \) for \( x \):

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

Calculating \( 25 \times 14 \):

\[ 25 \times 14 = 350 \]

Now, adding \( 150 \):

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

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