Part I: Marco rented a small moving van. The moving company charges $40 a day for up to 5 days. The input is the time, in days,

Question

3 years ago

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Part I: Marco rented a small moving van. The moving company charges $40 a day for up to 5 days. The input is the time, in days,

and the output is the total cost. This mapping diagram shows the inputs and outputs of the rental cost
Is this mapping diagram a function? Why or why not?

Part II:
A. What is the domain of Marco’s mapping diagram?

B. What is the range of Marco’s mapping diagram?

Mathematics

1 answer:

Snezhnost [94] · Answer 1 · 2022-07-21T16:10:59+03:00

Given mapping is a function.

Domain: $\{1,2,3,4,5\}$

Range: $\{40,80,120,160,200\}$

Step-by-step explanation:

By observing Marco's mapping diagram we can see that every value in time is mapped to only one value in the cost. This means that there will be no repetition or same output to two different outputs so given mapping is a function.

<u>Domain:</u>

Domain is the set of all inputs of a function. Here time is input so domain of function is:

$\{1,2,3,4,5\}$

<u>Range:</u>

Range is the set of all outputs of the function on domain so the range of the given function is:

$\{40,80,120,160,200\}$

Hence,

Given mapping is a function.

Domain: $\{1,2,3,4,5\}$

Range: $\{40,80,120,160,200\}$

Keywords: Domain, range, function

Learn more about function at:

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