Question

A carwash charges $8 per car and can wash at most 10 cars each hour. The amount the carwash earns in an hour depends on the number of cars washed. What is the domain of this relation? A. 0 ≤ x ≤ 10 B. {0, 8, 16, 24, 32, 40, 48, 56, 64, 72, 80} C. {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10} D. 0 ≤ x < 80

Answer 1

{ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

Explanation:

Answer 2

{ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

Explanation:

Let x represents the number of car washed and y represents the amount of car wash,

Since, the amount the car wash earns in an hour depends on the number of cars washed,

That is,

y ∝ x

⇒ y = kx

Since, domain of the above function = all possible values of x

Also, there can at most 10 cars wash each hour,

Again,

x can not be negative or in decimal,

⇒ x ∈ { 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

Hence, Domain for the given relation = { 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

OPTION C is correct.