Answer: 0.4 meters per hour.
Step-by-step explanation:
The rate of change of distance with respect to time is known as speed.
Formula :
Given : It's raining outside, and after 1 hour of rain, the water level in Jake's pond is 2 meters. After 3 hours, the water level is 2.8 meters.
i.e. Change in position= 2.8-2=0.8 meters
Change in time = 3-1=2 hours
i.e.
Hence, the rate of change =0.4 meters per hour.
Step-by-step explanation:
The standard form for a line is Ax+By=C
First, we need to find the slope, or change in y over change in x. For the first one, this is
, which is impossible to find as we cannot divide by 0, meaning that this is constant horizontally -- in this case, x=2. Thus, we have 1*x+0*y=2.
For the second one, we can find the slope by getting
. We can then take the point (3,0) (it can be any point on the line) and get our equation to be y-0 = (-2/3) (x-3). Converting this to standard form, we can expand this to get
y= (-2/3)*x +2
(-2/3)*x+1*y = 2