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

Answer 1

Complete 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[  ]inch(es) of snow on the ground at the start of the storm and the slope means that[  ]inch(es) of snow falls every hour during the storm.

Function: d(t)= 1/2t+6

Answer:

$b = 6$

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

Step-by-step explanation:

Given

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

Required

Determine the y intercept and the slope

y-intercept:

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

A function has a format of:

$d(t) = mt + b$

Where b represent the y intercept:

By comparison of $d(t) = mt + b$ and $d(t)= \frac{1}{2}t+6$

$b = 6$

Slope:

A function has a format of:

$d(t) = mt + b$

Where m represent the slope

By comparison of $d(t) = mt + b$ and $d(t)= \frac{1}{2}t+6$

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