Answer:
1. [tex] h = -3t + 18 [/tex]
2. The amount of snow that accumulated the previous night.
Step-by-step explanation:
1. height of snow = h cm
time = t hrs
To determine the linear function, find the slope (m) of the line, and the y-intercept (b). Then represent the function in slope-intercept form as y = mx + b. Where,
y = h,
x = t
m = slope
b = y-intercept
Find slope (m) using points (6, 0) and (0, 18):
[tex] m = \frac{h_2 - h_1}{t_2 - t_1} = \frac{18 - 0}{0 - 6} = \frac{18}{-6} = -3 [/tex]
m = -3
The y-intercept is where the line intercepts the y-axis = 18
Substitute y = h, x = t, m = -3, and b = 18 into y = mx + b.
Thus, the linear function would be:
[tex] h = -3t + 18 [/tex]
2. The Initial value is the y-intercept, which is 18. In this case, 18 represents the amount of snow in cm, that accumulated the previous night.
