Question

This one is about rate of change and has 2 questions that need two answers.

Answer 1

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)

$\mathsf{rate \ of \ change=\dfrac{change \ in \ y}{change \ in \ x}=\dfrac{4-1}{11-6}=\dfrac35 \ inches \ per \ hour}$

Written as a linear equation:

$y-1=\dfrac35(x-6)$

$\implies y=\dfrac35x-\dfrac{13}{5}$

1:00 pm = 13 hours after midnight

Therefore, when x = 13:

$\implies y=\dfrac35(13)-\dfrac{13}{5}$

$\implies y=5.2 \textsf{ inches}$