Question

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}

Answer 1

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

Explanation:

Cost of cab ride for the first mile or part of a mile = $10

Cost for each additional mile or part of a mile = $3

Therefore,

Cost of cab ride for the two miles = $10 + $3 = $13

Cost of cab ride for the three miles = $10 + $3 +$3= $16

Cost of cab ride for the four miles = $10 + $3 +$3 + $3= $19

Cost of cab ride for the five miles = $10 + $3 +$3 + $3 +$3 = $22

Cost of cab ride for the six miles = $10 + $3 +$3 + $3 +$3 + $3 = $25

So, domain of P(C) is equal to {10, 13, 16, 19, 22, 25}

Therefore, option B) is correct .

Answer 2

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

Explanation:

The cost of the cab ride will be one of 6 possible values. Those values constitute the domain of the function P(C).