Question

The function shown models the depth d
(in inches) of snow on the ground during
the first 9 hours of a snowstorm, where t
is the time (in hours) after the snowstorm
begins.
The -intercept means that there
were[ Jinch(es) of snow on the ground at
the start of the storm and the slope
means that[ Jinch(es) of snow falls every
hour during the storm.
Function: d(t)= 1/2t 6

Answer 1

Answer:

$Slope = \frac{1}{2}$

$y-intercept = 6$

The y-intercept means that there  were [6] inch(es) of snow on the ground at  the start of the storm and the slope  means that [1/2] inch(es) of snow falls every  hour during the storm.

Step-by-step explanation:

Given

$d(t) = \frac{1}{2}t + 6$

Required

- Determine the slope and y intercept

- Fill in the gap

The format of a linear equation is:

$y = mx + b$

Where

$m = slope$

$b = y-intercept$

By comparing $y = mx + b$ with $d(t) = \frac{1}{2}t + 6$

We have:

$m = \frac{1}{2}$

i.e.

$Slope = \frac{1}{2}$

and

$b = 6$

i.e.

$y-intercept = 6$