Respuesta :
The domain for potential earnings of a student who works the whole week of the festival if working partial days is not permitted is: {1,2,3,4,5,6,7}
and the range is : {0, 100, 150, 200, 250, 300,350}.
Given,
The city pays students $50 per day to serve snow cones at the local summer festival.
A student can work the whole week of the festival.
Working partial days are not permitted.
We need to find the domain and range.
What are the domain and range of a function?
The domain of a function is the values that we input into a function and the output is the range.
Let us say we have a function:
f(x) = 1 + x
x can take {1,2,3,4}
f(1) = 1 + 1 = 2
f(2) = 1 + 2 = 3
f(3) = 1 + 3 = 4
f(4) = 1 + 4 = 5
Range = { 2,3,4,5}
Domain = {1,2,3,4}
Determine the function
f(x) = 50x
Where f(x) is the amount paid and x is the number of days
Find the Domain
f(x) can take 1,2,3,4,5,6,7 because there are 7 days in a week.
Domain = {1,2,3,4,5,6,7}
Find the Range
f(1) = 50 x 1 = 50
f(2) = 50 x 2 = 100
f(3) - 50 x 3 = 150
f(4) = 50 x 4 = 200
f(5) = 50 x 5 = 250
f(6) = 50 x 6 = 300
f(7) = 50 x 7 = 350
Range = {0, 100, 150, 200, 250, 300,350}
Thus,
The domain for potential earnings of a student who works the whole week of the festival if working partial days is not permitted is: {1,2,3,4,5,6,7}
and the range is : {0, 100, 150, 200, 250, 300,350}.
Learn more about the domain and range of a function here:
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