Answer:
x=-2/15
Step-by-step explanation:
Step-by-step explanation:
Step 1: Draw your trend line.
You begin by drawing your trend line. You want your trend line to follow your data. You want to have roughly half your data above the line and the other half below the line, like this:
trend line equation
Step 2: Locate two points on the line.
Your next step is to locate two points on the trend line. Look carefully at your trend line and look for two easy to figure out points on the line. Ideally, these are points where the trend line crosses a clearly identifiable location.
For the trend line that we just drew, we can see these two easily identifiable points.
trend line equation
We can easily identify these two points as (3, 3) and (12, 6).
Step 3: Plug these two points into the formula for slope.
The formula for slope is this one:
trend line equation
We can label our first point as (x1,y1), and our second point as (x2,y2). So our x1 is 3, our y1 is 3, our x2 is 12, and our y2 is 6. Plugging these values into the equation for slope and evaluating, we get this:
trend line equation
So our slope is 1/3.
Since we want to find the value of <em>k</em><em> </em>where the limit exists, set both equations equal to each other. Then substitute <em>x</em> = -1 in for each equation to find <em>k</em><em>.</em>
<em>
</em>
1. Set both equations equal.
2. Substitute <em>x</em><em> </em>= -1.
3. Solve for <em>k</em><em> </em>by adding <em>k</em><em> </em>to both sides. Continue the process of solving the equation.
Thus, <em>k</em><em> </em>= -2. Check by graphing the function.
Answer:
The point is at about (4.5, 100).
Step-by-step explanation:
Minka's line is p = 22t, which has a y-intercept of 0.
Kenji's line is p = 50 + 11t, which has a y-intercept of 50.
Find the line with y-intercept at 0 and the line with y-intercept at 50. Follow the two lines until they intersect. The point of intersection is about (4.5, 100).
You can find this point by setting the two equations equal to each other:
22t = 50 + 11t
Subtract 11t from both sides.
11t = 50
t = 50/11 ≈ 4.545
Then you can find the p value for this point by plugging t = 4.545 into either equation.
p = 22(4.545) = 99.99
p = 50 + 11(4.545) = 99.995
On the graph the point is about (4.5, 100).
Y - 6 = 10(x - 2) hope this helps :)
