Questions: Weekly Conceptual Questions: A. The function f(t) outputs the number of sales at Flormart since opening at 12 am, for an input of the number of hours after opening. We are told: f(7)=237 Circle the true statements below: a) The point (7,237) lies on the graph of y=f(t). b) The point (237,7) lies on the graph of y=f(t). c) At 7 am there have been 237 sales at Flormart. d) At 2:37am there have been 7 sales at Flormart.

Weekly Conceptual Questions:
A. The function f(t) outputs the number of sales at Flormart since opening at 12 am, for an input of the number of hours after opening.
We are told: f(7)=237
Circle the true statements below:
a) The point (7,237) lies on the graph of y=f(t).
b) The point (237,7) lies on the graph of y=f(t).
c) At 7 am there have been 237 sales at Flormart.
d) At 2:37am there have been 7 sales at Flormart.

Transcript text: Weekly Conceptual Questions: A. The function $f(t)$ outputs the number of sales at Flormart since opening at 12 am , for an input of the number of hours after opening. We are told: $f(7)=237$ Circle the true statements below: a) The point $(7,237)$ lies on the graph of $y=f(t)$. b) The point $(237,7)$ lies on the graph of $y=f(t)$. c) At 7 am there have been 237 sales at Flormart. d) At 2:37am there have been 7 sales at Flormart.

Solution

Solution Steps

Step 1: Analyze the function $ f(t) $

The function $ f(t) $ outputs the number of sales at Flormart since opening at 12 am, where $ t $ represents the number of hours after opening. The given information is $ f(7) = 237 $, which means that 7 hours after opening, there have been 237 sales.

Step 2: Evaluate statement (a)

Statement (a) says: "The point $ (7, 237) $ lies on the graph of $ y = f(t) $."
Since $ f(7) = 237 $, the point $ (7, 237) $ satisfies the equation $ y = f(t) $. Therefore, this statement is true.

Step 3: Evaluate statement (b)

Statement (b) says: "The point $ (237, 7) $ lies on the graph of $ y = f(t) $."
The function $ f(t) $ maps hours $ t $ to sales $ y $, not the other way around. Therefore, $ (237, 7) $ does not lie on the graph of $ y = f(t) $. This statement is false.

Step 4: Evaluate statement (c)

Statement (c) says: "At 7 am there have been 237 sales at Flormart."
Since $ t = 7 $ corresponds to 7 hours after 12 am, which is 7 am, and $ f(7) = 237 $, this statement is true.

Final Answer

a) True
b) False
c) True
d) False

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