Question

farmer jorbal started with some repfols on her farm. after 7 hours, she had 96 repfols. every hour, she squashed 8 more of them.
write an equation in slope-intercept form for total repfols, y, after x hours:

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

Explanation:

Step1: Identify slope and known point

Slope $m = -8$ (repfols decrease by 8 hourly). Known point: $(7, 96)$.

Step2: Find y-intercept (b)

Use slope-intercept form $y = mx + b$. Substitute $x=7$, $y=96$, $m=-8$:
$$96 = -8(7) + b$$
$$96 = -56 + b$$
$$b = 96 + 56 = 152$$

Step3: Write slope-intercept equation

Substitute $m=-8$ and $b=152$ into $y=mx+b$:
$y = -8x + 152$

Step4: Identify starting ordered pair

Starting time is $x=0$, so $y=152$. Ordered pair: $(0, 152)$.

Step5: Fill table for x=0

When $x=0$, $y=152$.

Answer:

Slope-intercept equation: $y = -8x + 152$
Correct ordered pair: D. (0, 152)
Table value (x=0): 152