Jennifer sold cupcakes at the yard sale. The function P(c)= 1.50c - 9.96

Question

represented the profit, P(c), Jennifer earned selling c cupcakes. How much money will she make after selling 25 cupcakes?

$25.39

$27.54

$35.50

$42.75

Answer 1

To find out how much money Jennifer will make after selling 25 cupcakes, we can substitute \( c = 25 \) into the profit function \( P(c) = 1.50c - 9.96 \).

Calculating \( P(25) \):

\[ P(25) = 1.50(25) - 9.96 \]

Now, we compute \( 1.50 \times 25 \):

\[ 1.50 \times 25 = 37.50 \]

Next, substitute this value back into the profit function:

\[ P(25) = 37.50 - 9.96 \]

Now, we subtract \( 9.96 \) from \( 37.50 \):

\[ P(25) = 37.50 - 9.96 = 27.54 \]

Thus, the profit Jennifer makes after selling 25 cupcakes is

\[ \boxed{27.54} \]