Answer:
0.6 inches per hours
5.2 inches on the ground by 1:00 pm
Step-by-step explanation:
Let x = number of hours after midnight
Let y = height of snow (in inches)
Information presented as ordered pairs (x, y):
(6, 1)
(11, 4)
[tex]\mathsf{rate \ of \ change=\dfrac{change \ in \ y}{change \ in \ x}=\dfrac{4-1}{11-6}=\dfrac35 \ inches \ per \ hour}[/tex]
Written as a linear equation:
[tex]y-1=\dfrac35(x-6)[/tex]
[tex]\implies y=\dfrac35x-\dfrac{13}{5}[/tex]
1:00 pm = 13 hours after midnight
Therefore, when x = 13:
[tex]\implies y=\dfrac35(13)-\dfrac{13}{5}[/tex]
[tex]\implies y=5.2 \textsf{ inches}[/tex]
