Question

Please help me!!!

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)=120−2x 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 $6960 when the charge per customer is $60.


The horse-drawn carriage tour company can expect to take in $6960 when the charge per customer is $40.


​The horse-drawn carriage tour company can expect to take in $6600 when the charge per customer is $40.

​​The horse-drawn carriage tour company can expect to take in $6600 when the charge per customer is $60.

Answer 1

i would say A

Explanation:

Answer 2

Option A- The horse-drawn carriage tour company can expect to take in $6960 when the charge per customer is $60.

Explanation:

Given :

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)=120-2x` 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.

To find : (p⋅c)(2) mean about the horse-drawn carriage tour company.

Solution :

(p.c) means we multiply the p(x) and c(x)

`(p.c)(x)=(120-2x)(50+5x)`

`(p.c)(x)=6000+600x-100x-10x^2`

`(p.c)(x)=6000+500x-10x^2`

Substitute the value of x=2

`(p.c)(2)=6000+500(2)-10(2)^2`

`(p.c)(2)=6000+1000-10(4)`

`(p.c)(2)=7000-40`

`(p.c)(2)=6960`

The horse-drawn carriage tour company can expect to take in $6960.

The function
`c(x)=50+5x` represents price charged per customer.

For x=2

`c(2)=50+5(2)`

`c(2)=50+10=60`

The charge per customer is $60.

Therefore, Option A is correct.