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# Word problem

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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 over a rate of \$50 per person.

The function p(x)=100−2x 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 \$3760 when the charge per customer is \$60.

The horse-drawn carriage tour company can expect to take in \$5760 when the charge per customer is \$60.

The horse-drawn carriage tour company can expect to take in \$5760 when the charge per customer is \$40.

The horse-drawn carriage tour company can expect to take in \$3760 when the charge per customer is \$40.

Mar 29, 2022

#1
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It means to multiply them, and then you get the products.

Mar 29, 2022
#2
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p= 100 -2x

c =  50 + 5x

(p * c) (2)   =   p(2) * c(2)   =  [100 - 2 (2) ]  *  [ 50 + 5(2) ]   =

[ 96 ] * [ 60 ] =  5760

This means  that  the company makes \$5760   when the charge is \$60   per customer

Mar 29, 2022
edited by CPhill  Mar 29, 2022
#3
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I'm not sure about that

Guest Mar 29, 2022