The cost to ride a Ferris wheel is [tex]$\$[/tex] 2.00$ per person. The Ferris wheel has a capacity of 64 people. The amount of money collected is a function of the number of people who ride on the Ferris wheel.

[tex]\[ M(p) = 2p \][/tex]

Use the drop-down menus to complete the statements below about the domain of this function.

1. The domain of this function is first restricted to all nonnegative integers because only a whole number of people can ride the Ferris wheel.
2. The domain is also restricted to be less than or equal to 64 because the Ferris wheel can hold a maximum of 64 people.

Question

16-07-2024
Mathematics

Answered

The cost to ride a Ferris wheel is [tex]$\$[/tex] 2.00$ per person. The Ferris wheel has a capacity of 64 people. The amount of money collected is a function of the number of people who ride on the Ferris wheel.

[tex]\[ M(p) = 2p \][/tex]

Use the drop-down menus to complete the statements below about the domain of this function.

1. The domain of this function is first restricted to all nonnegative integers because only a whole number of people can ride the Ferris wheel.
2. The domain is also restricted to be less than or equal to 64 because the Ferris wheel can hold a maximum of 64 people.

Answer :

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GinnyAnswer GinnyAnswer · Answer 1 · 2024-07-16T13:58:36-04:00

The domain of this function is first restricted to all nonnegative integers because only a whole number of people can ride the ferris wheel.

The domain is limited to a maximum of 64 people due to the capacity of the ferris wheel.

In summary, the domain of the function [tex]$M(p) = 2p$[/tex] representing the amount of money collected based on the number of people [tex]$p$[/tex] riding the ferris wheel is from 0 to 64. This means only nonnegative integers from 0 to 64 can be valid inputs for the function.