You are given two x and y pairs: (100,45) and (570,162.5)
First solve for the slope, m.
m = (162.5 - 45) / (570 - 100)
m = 117.5 / 470
m = 0.25
Not only is "m" the slope but it is the rate (dollars per minute) in the question. So it's 25 cents per minute to use the phone.
After imputing "m" the linear equation looks like this:
y = 0.25x + b
Use either point as (x,y) to solve for the y-intercept "b". I'll use (100,45)
45 = 0.25(100) + b
45 = 25 + b
45 - 25 = b
20 = b
Not only is "b" the y-intercept but it is also always the flat fee added on to linearly increasing cost questions like this.
Final equation is:
y = 0.25x + 20
Part B.) If 939 minutes are used. Just put that in for x and solve for y.
y = 0.25(939) + 20
y = 234.75 + 20
y = 254.75
Answer:
perimeter = 40
area = 46(unit)^2
Step-by-step explanation:
Perimeter - all sides added together
- Find unknown sides (8-3 = 5, 12-2 = 10)
- Add all sides together (8+2+5+10+3+12 = 40)
Area - Length multiplied by width
- Divide shape into two rectangles (#1 is 2x5 and #2 is 3x12)
- Find individual area (rectangle #1: 2*5 = 10 / rectangle #2: 3*12 = 36)
- Add areas together (10+36 = 46)
- Finish with unit squared (46___^2)
Hi I think your answer should be 6.28 yards
I'm working on something like this too.
You want to get the measure of y.
4x - 2y = 10
-4x -4x
------------------
-2y = 4x + 10
----- ---- ----
-2 -2 -2
y = -2/1x + -5
m = -2
b = -5
I think.....
For example, three points are always coplanar, and if the points are distinct and non-collinear, the plane they determine is unique. However, a set of four or more distinct points will, in general, not lie in a single plane. Two lines in three-dimensional space are coplanar if there is a plane that includes them both.
