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# One Question-Check My Answer? Thanks

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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.

Mar 22, 2018

#1
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+1

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!

Mar 22, 2018

#1
+2338
+1

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!

TheXSquaredFactor Mar 22, 2018