Question

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 over 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 over 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 $60.

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 $4960 when the charge per customer is $40.

Answer 1

P(2)×c(2) = 76×60 = 4560 is the revenue the company can expect when the charge per customer is 2×$5 above a rate of $50 per person, that is, $60 per person.

The 1st selection is appropriate