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Question
for 9 - 11, write a sentence explaining the meaning of the specific numbers given for each scenario. 9) the input of a function c is time of day since midnight. the output is the number of cars in the parking lot. what does c(9)=115 mean? 10) the input of a function w is height (in centimeters). the output is weight (in pounds). what does w(183)=212 mean? 11) the input of a function i is the number of lame jokes mr. kelly tells in a day. the output is the irritability level of his students (measured in kellygrams). what does i(8)=78 mean?
Step1: Understand function - input and output
In a function $y = f(x)$, $x$ is the input and $y$ is the output. We analyze what each input - output pair represents based on the context.
Step2: Analyze problem 9
The function $C$ has input as time (hours since midnight) and output as number of cars in parking lot. So, $C(9)=115$ means that 9 hours since midnight, there are 115 cars in the parking lot.
Step3: Analyze problem 10
The function $W$ has input as height (in centimeters) and output as weight (in pounds). So, $W(183) = 212$ means that a person with a height of 183 centimeters has a weight of 212 pounds.
Step4: Analyze problem 11
The function $I$ has input as number of lame jokes Mr. Kelly tells in a day and output as irritability level of his students (measured in Kellygrams). So, $I(8)=78$ means that when Mr. Kelly tells 8 lame jokes in a day, the irritability level of his students is 78 Kellygrams.
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- 9 hours since midnight, there are 115 cars in the parking lot.
- A person with a height of 183 centimeters has a weight of 212 pounds.
- When Mr. Kelly tells 8 lame jokes in a day, the irritability level of his students is 78 Kellygrams.