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 a

Question

2 years ago

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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 a

ll 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}

Mathematics

2 answers:

Vaselesa [24] · Answer 1 · 2023-04-19T12:54:53+03:00

Answer:

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

Step-by-step 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}