Question Stem
1) You have just been offered a job at the
Carmax Dealership! The manager tells you that
you will be getting paid $13.50 an hour. She
also tells you that you will be working anywhere
from 40-45 hours weekly. Your weekly pay
can be determined by the function
P(t)
13,50t, where t is the time in hours.
Find a reasonable range for this scenario.
A. {540, 553.5, 567, 580.5, 594, 607.5}
B. 0≤ y ≤45
C. 40 ≤ x ≤ 45
D. 540 ≤ y ≤ 607.5
Student Work
Is this scenario continuous or discrete?
How do you know?
Create a table of the data points we know

Question

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Respuesta :

pranavgera011 pranavgera011 · Answer 1 · 2022-08-28T18:21:38+02:00

The range for the given scenario is {540, 553.5, 567, 580.5, 594, 607.5} and this is continuous.

A function is defined as follows:

f(x) = y

Where x is the input variable and y is the output variable

Then the set of output values for the set of input values is said to be the range of the function.

The given function is P(t) = 13.50t

Where t is the input variable. The variable 't' represents the working hours.

The given interval for t is 40 - 45 hours weekly.

Then the output values for the given interval of input values are:

for t = {40, 41, 42, 43, 44, 45};

P(40) = 13.50(40) = 540

P(41) = 13.50(41) = 553.5

P(42) = 13.50(42) = 567

P(43) = 13.50(43) = 580.5

P(44) = 13.50(44) = 594

P(45) = 13.50(45) = 607.5

Then the range for the given scenario is {540, 553.5, 567, 580.5, 594, 607.5}.

Since the difference between each value is the same i.e.,

553.5 - 540 = 13.5 or 567 - 553.5 = 13.5 and so on.

So, this scenario is continuous.

Learn more about the range of a function here:

https://brainly.com/question/1942755

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