I find it easiest to use slope-intercept form, or y=mx+b, to do this.
First, find the slope. 6/3 = 2/1 = 2. m = 2.
Next, find the y-intercept. In this case they gave it to you directly. b = -3.
So, the equation would be y = 2x - 3.
Answer: y=5x/2 - 2.5
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-2.5-2.5)/(0-2)
m=-5/(-2)
m=5/2
y=mx+b
y=5x/2 + b
-2.5=5(0)/2 + b
-2.5=0 + b
b=-2.5
y=5x/2 - 2.5
So the ration is 1 to 5 since it's one foot every 5 seconds. So for every 5 seconds, add 1 foot.
For example: in 45 seconds, it would travel 7 feet.
But in this Scenario, the timer starts after 5 feet so just add 5
Ex. in 45 seconds, it would have traveled 12 feet since we added the 5 feet that we started with to the 7 other feet it traveled.
Idk If this will help very much but I hope it does.
24.31 ÷ 2.6 = 243.1 ÷ 26 = 9.35
Answer:
The rate of change is of 2.25 degrees per hour.
Step-by-step explanation:
The rate of change in degrees per hour is given by by the change in temperature divided by the change in time(by number of hours).
In this question:
From 6 am to 2 pm, there are 12 - 6 + 2 - 0 = 6 + 2 = 8 hours
The change in temperature was of 76 - 58 = 18º
Rate of change:
18º/8 = 2.25º
The rate of change is of 2.25 degrees per hour.