Question
Jennifer sold cupcakes at the yard sale. The function P(c)= 1.50c - 9.96
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
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
Answers
GPT-4o mini
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
\[
\boxed{27.54}
\]
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
\[
\boxed{27.54}
\]