149k views
3 votes
The cost of a cab ride is $10 for the first mile or part of a mile. It costs $3 for each additional mile or part of a mile and all cab rides are less than six miles. The cost is modeled by the function C(m), where "m" is the number of miles. The driver's pay "P" is a function of the cost "C" and is modeled by P(C) = 0.60C. What is the domain of P(C)? A) {1, 2, 3, 4, 5} B) {10, 13, 16, 19, 22, 25} C) {any positive real number less than 6} D) {any positive real number less than 25}

User Dreampie
by
7.9k points

2 Answers

1 vote

Answer:

The answers B

Explanation:

User Edbras
by
8.8k points
5 votes

Answer:

B) {10, 13, 16, 19, 22, 25}

Explanation:

The given function is:

P(C) = 0.60C

Here C represents the cost of the cab ride. It is given that the cost of cab ride is $ 10 for the first mile and $3 for each additional mile or part of the mile.

So,

For upto first mile, cost = $ 10

For upto first 2 miles, cost = $ 10 + $ 3 = $ 13

For upto first 3 miles, cost = $ 13 + $ 3 = $ 16

For upto first 4 miles, cost = $ 16 + $ 3 = $ 19

For upto first 5 miles, cost = $ 19 + $ 3 = $ 22

For upto first 6 miles, cost = $ 22 + $ 3 = $ 25

The cab ride must be less than 6 miles. So even if the ride is more than 5 miles but less than 6 miles, still the cost will be $ 25.

This means, the values that C can take are 10, 13, 16, 19, 22 and 25

Since, P(C) = 0.60C, takes C as an input, the domain of C will be all the possible values that C can take.

Therefore, the domain of P(C) will be: {10, 13, 16, 19, 22, 25}

User Agrafix
by
7.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories