QUESTION IMAGE
Question
which of the following ordered pairs represents the starting number of repfols?(-8, 152)(-8, 0)(152, -8)(0, 152)fill in the following table:| x | y ||----|----|| 0 | 152 || | 0 |
Step1: Identify starting ordered pair
A starting number (initial state) corresponds to when the independent variable $x$ (representing time or count starting at 0) is 0, with $y$ as the initial number of repfols. So the pair is $(0, 152)$.
Step2: Solve for x when y=0
Assume a linear relationship $y = mx + b$. We know $b=152$ (from $x=0,y=152$). Using the context that when $y=0$, we solve $0 = mx + 152$. From the table, the correct $x$ value for $y=0$ is derived from the linear trend: if the rate is $m=-8$ (implied by typical starting value problems), then $0 = -8x + 152$, so $x=\frac{152}{8}=19$. Wait, correcting: the table shows when $y=0$, the $x$ value is calculated as follows:
$$x=\frac{152}{8}=19$$
(Note: the green 1 is incorrect; the correct $x$ for $y=0$ is 19)
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- The correct ordered pair for starting repfols: (0, 152)
- Completed table:
| x | y |
|---|---|
| 19 | 0 |