J+K+B+L=1000
K=2J
B=3J
L=100
1000-100=900
J+(2J)+(3J)=900
6J=900 Divide both sides by J.
J=150
Jim gets $150
When x = 0, the value of f(x) is 2. You can see why below
f(x) = (2^x) + 1
f(0) = (2^0) + 1
f(0) = 1+1
f(0) = 2
So the point (0,2) is on the curve. This is visually shown as the y intercept (the location where the curve crosses the y axis)
When x = 2, the value of f(x) is 5
f(x) = (2^x) + 1
f(2) = (2^2) + 1
f(2) = (4) + 1
f(2) = 5
So (2,5) is another point on this curve
Find the slope of the line through these two points
m = (y2 - y1)/(x2 - x1)
m = (f(2) - f(0))/(2 - 0)
m = (5 - 2)/(2 - 0)
m = 3/2
m = 1.5
The slope as a fraction is 3/2
The slope as a decimal is 1.5
So the rate of change is 1.5
Answer:
8000
Step-by-step explanation:
Total number of homes in given data is 7+33+56+42+12 = 150
Now out of 150 there is 12 homes who have 4 or more phones
Let's set up proportions
150 / 12 = 100,000 / X
x=100000×12 /150
X=8000
Rewrite it in y=mx+b form.
So 8x-2y=5
-2y=-8x+5
y=4x-5/2
So the slope is m or 4.
The y intercept is b or -5/2.