A horse-drawn carriage tour company has found that the number of people that take their tour depends on the price charged per customer. The more the company charges for a tour, the fewer people decide to take the tour.
The function c(x)=50+5x represents price charged per customer where x is the number of $5 increases they charge at a rate of $50 per person.
The function p(x)=80−2x represents the number of customers expected for the day, where x is the number of $5 increases they charge at a rate of $50 per person.
What does (p⋅c)(2) mean about the horse-drawn carriage tour company?
The horse-drawn carriage tour company can expect to take in $4560 when the charge per customer is $40.
The horse-drawn carriage tour company can expect to take in $4960 when the charge per customer is $60.
The horse-drawn carriage tour company can expect to take in $4560 when the charge per customer is $60.
The horse-drawn carriage tour company can expect to take in $4960 when the charge per customer is $40.
My answer=C Am I right?
+2441 The definitions are given clearly to us; now, we must interpret the information.
"The function c(x)=50+5x represents price charged per customer where x is the number of $5 increases they charge at a rate of $50 per person. "
This segment states that a particular function \(c(x)=50+5x\) determines the cost for one attendee for this horse-drawn carriage tour company.
"The function p(x)=80−2x represents the number of customers expected for the day, where x is the number of $5 increases they charge at a rate of $50 per person."
\(p(x)=80−2x\) is a function that determines the number of attendees for this event.
\((p*c)(2)=p(2)*c(2)\), therefore, determines the total cost of the fee for all attendees when two five-dollar increments are placed on the cost.
| \(\textcolor{red}{p(2)}*\textcolor{blue}{c(2)}\) | I decided to use colors to help differentiate the two quantities. |
| \(\textcolor{red}{p(2)=80-2*2}\) | Determine the number of attendees when two five-dollar increments are placed on the cost. |
| \(\textcolor{red}{p(2)=76}\) | |
| \(\textcolor{blue}{c(2)=50+5*2}\) | Evaluate. |
| \(\textcolor{blue}{c(2)=60}\) | |
| \(\textcolor{red}{p(2)}*\textcolor{blue}{c(2)}\\ \textcolor{red}{76}\hspace{4mm}*\textcolor{blue}{60}\) | |
| \($4560\) | |
Knowing this information, I would agree with you! The answer is C!
+2441 The definitions are given clearly to us; now, we must interpret the information.
"The function c(x)=50+5x represents price charged per customer where x is the number of $5 increases they charge at a rate of $50 per person. "
This segment states that a particular function \(c(x)=50+5x\) determines the cost for one attendee for this horse-drawn carriage tour company.
"The function p(x)=80−2x represents the number of customers expected for the day, where x is the number of $5 increases they charge at a rate of $50 per person."
\(p(x)=80−2x\) is a function that determines the number of attendees for this event.
\((p*c)(2)=p(2)*c(2)\), therefore, determines the total cost of the fee for all attendees when two five-dollar increments are placed on the cost.
| \(\textcolor{red}{p(2)}*\textcolor{blue}{c(2)}\) | I decided to use colors to help differentiate the two quantities. |
| \(\textcolor{red}{p(2)=80-2*2}\) | Determine the number of attendees when two five-dollar increments are placed on the cost. |
| \(\textcolor{red}{p(2)=76}\) | |
| \(\textcolor{blue}{c(2)=50+5*2}\) | Evaluate. |
| \(\textcolor{blue}{c(2)=60}\) | |
| \(\textcolor{red}{p(2)}*\textcolor{blue}{c(2)}\\ \textcolor{red}{76}\hspace{4mm}*\textcolor{blue}{60}\) | |
| \($4560\) | |
Knowing this information, I would agree with you! The answer is C!
