The function gives the total number of signatures on an online petition, where is the number of hours since the petition was launched. What is the best interpretation of the statement in this context?
Read function notation as an input-output pair: the number in parentheses is the input, and the number after the sign is the output. Match each number to the quantities in the question before choosing a sentence. A total at a given time is not a rate for each hour. The symbol means the output is approximate.
Hints
- Hint 1
The input is the number inside a function's parentheses. Since measures hours since launch, uses 3 hours as its input. At what time are you checking the petition?
- Hint 2
The output is what the function reports for an input. reports a total, not how many signatures arrive each hour. How should you describe the number written after ?
Step-by-step
Match the input and output to the story
Step 1Read the input as a time
No Desmos needed. The statement already gives the input and output; there's no rule to calculate. A function pairs an input with an output. The 3 inside is the input. Since counts hours since launch, this means 3 hours after launch.
- Step 2
Read the output as the petition total
gives the total number of signatures, so says that total is about 2,400 at the time you found. The symbol means approximately equal to. It doesn't turn the total into signatures gained each hour. So 3 hours after launch, the petition has approximately 2,400 signatures. Choice C.