Question

Janae works a lemonade stand outside of her home. Each morning she goes to the store to buy $15 worth of supplies. She charges $0.50 per cup of lemonade. She models her daily profit using the equation d(c)=0.5c−15
, where c is the number of cups of lemonade she sells. Assuming that Janae works Monday through Friday, which of the following best builds an equation to model her weekly profit, w(c)
?(1 point)
Responses

w(c)=5(0.5c)−15
w left parenthesis c right parenthesis equals 5 left parenthesis 0.5 c right parenthesis minus 15

w(c)=5(0.5c−15)
w left parenthesis c right parenthesis equals 5 left parenthesis 0.5 c minus 15 right parenthesis

w(c)=0.5c−155
w left parenthesis c right parenthesis equals Start Fraction 0.5 c minus 15 over 5 End Fraction

w(c)=0.5c−5(15)

Answer 1

To model Janae's weekly profit \( w(c) \) based on her daily profit \( d(c) = 0.5c - 15 \), we need to consider that she operates Monday through Friday, which is 5 days a week.

Janae's daily profit is dependent on the number of cups of lemonade sold, \( c \). To find her weekly profit, we will multiply her daily profit by the number of days she works (5):

\[
w(c) = 5 \cdot d(c) = 5 \cdot (0.5c - 15)
\]

Thus, the correct equation that models her weekly profit is:

\[
w(c) = 5(0.5c - 15)
\]

So, the best option among the provided responses is:

**w(c) = 5(0.5c - 15)**.