Questions: Arlington received a new cell phone for his birthday. The function f(x) gives the number of texts he can receive per hour, x. What does the function f(3)=200 represent? (1 point)
Transcript text: Item 6
Arlington received a new cell phone for his birthday. The function $f(x)$ gives the number of texts he can receive per hour, $x$. What does the function $f(3)=200$ represent? (1 point)
Solution
Solution Steps
The function \( f(x) \) represents the number of texts Arlington can receive per hour. The expression \( f(3) = 200 \) indicates that when \( x = 3 \) hours have passed, Arlington can receive 200 texts. This is an interpretation of the function's output for a specific input value.
Step 1: Interpret the Function
The function \( f(x) \) represents the number of texts Arlington can receive per hour, where \( x \) is the number of hours. The expression \( f(3) = 200 \) indicates that after 3 hours, Arlington can receive 200 texts.
Step 2: Analyze the Given Information
Given that \( f(3) = 200 \), we understand that the function outputs the number of texts received at a specific time. Here, when \( x = 3 \), the output is 200, meaning Arlington receives 200 texts in 3 hours.
Final Answer
\( f(3) = 200 \) represents that Arlington can receive 200 texts in 3 hours.