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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 ≤ x < 80
D. {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

2 Answers

3 votes

Answer:

b

Explanation:

User Xamantra
by
5.0k points
3 votes

Answer: C. 0 ≤ x ≤ 10.

Explanation:

According to the definition of domain , it is the set of all possible input values that defined a function.

Let x be the number of cars washed in an hour and y be the amount the carwash earns ( in dollars).

Since , carwash charges $8 per car , so we can write y= 8x

Also, carwash can wash at most 10 cars each hour.

i.e. x less than or equal to 10.

Also, the number of cars wash must be greater than or equal to0.

i.e. 0≤ x ≤10

Since , here x- input value for function y= 8x

Thus , the domain of this relation is 0 ≤ x ≤ 10.

Hence , the correct answer is C. 0 ≤ x ≤ 10.

User JoshD
by
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