Question

City Tours rents bicycles for $10 an hour with a maximum daily fee of $100. Bicycles must be returned the same day they are rented.
Part A: Make a table that show the cost for renting a bicycle for 1, 3, 11, and 20 hours.
Part B: Describe any constraints on the domain of range. Explain.
Part C: represent the domain and range using inequality or set-builder notation

Answer 1

The domain of the function can be represented using set-builder notation as follows: {x | x is a positive integer}. The range of the function can be represented using inequality notation as follows: 0 ≤ y ≤ 100.

What are the domain and range of the function?

The domain of the function includes all possible x values of a function, and the range includes all possible y values of the function.

Part A:

Hours Cost

1  10

3  30

11  100

20  100

Part B:

The domain of the function that represents the cost of renting a bicycle is the set of all possible values of the number of hours the bicycle is rented for. In this case, the domain is the set of all positive integers, because the bicycles must be returned the same day they are rented.

The range of the function is the set of all possible values of the cost of renting the bicycle. In this case, the range is the set of all non-negative numbers less than or equal to 100, because the maximum daily fee is $100.

Part C:

The domain of the function can be represented using set-builder notation as follows:

{x | x is a positive integer}

The range of the function can be represented using inequality notation as follows:

0 ≤ y ≤ 100

Learn more about the domain and the range here:

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