You've got five different problems in this photo ... four on top and the word problem on the bottom ... and they're all exactly the same thing: Taking two points and finding the slope of the line that goes through them.
In every case, the procedure is the same.
If the two points are (x₁ , y₁) and (x₂ , y₂) , then
the slope of the line that goes through them is
Slope = (y₂ - y₁) / (x₂ - x₁) .
This is important, and you should memorize it.
#1). (8, 10) and (-7, 14)
Slope = (14 - 10) / (-7 - 8) = 4 / -15
#2). (-3, 1) and (-17, 2)
Slope = (2 - 1) / (-17 - -3) = (2 - 1) / (-17 + 3) = 1 / -14
#3). (-20, -4) and (-12, -10)
Slope = [ -10 - (-4) ] / [ -12 - (-20) ]
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The word problem:
This question only gives you one point on the graph,
and then it wants to know what's the slope ?
What are you going to do for another point ?
A "proportional relationship" always passes through the origin,
so another point on the line is (0, 0) .
Now you have two points on THAT line too, and you can easily
find its slope.
Answer:
The forecast for November is 235 if August's forecast was 145.
Step-by-step explanation:
The formula for calculating forecast using exponential smoothing is:
Where Ft = New month forecast
Ft-1 = Previous month forecast
At-1 = Previous month actual value
α = smoothing constant
We are given F₈ = 145 (forecast for August), A₈ = 200 (Actual Value for August), α = 2, and we need to compute the forecast for November. So, We will first calculate the forecast for September then October and then November, step-by-step.
So, forecast for September is:
F₉ = F₈ + α (A₈ - F₈)
= 145 + 2*(200-145)
= 145 + 2*55
F₉ = 255
Then, forecast for October is:
F₁₀ = F₉ + α (A₉ - F₉)
= 255 + 2*(220-255)
= 255 + 2*(-35)
F₁₀ = 185
The forecast for November is:
F₁₁ = F₁₀ + α (A₁₀ - F₁₀)
= 185 + 2*(210 - 185)
F₁₁ = 235
Answer:
$594.03
Step-by-step explanation:
Using the exponential function;
A = Pe^-rt
Principal = $960
Rate r = 12% = 0.12
Time t = 4years
Substitute
A = 960e^-(0.12*)*4
A = 960e^-0.48
A = 960(0.61878)
A = 594.03
HEnce the worth after 4years will be $594.03
I dont know if this will help you, but a 15th (.15) of an hour is 9 minutes!
So it'd be
.15=9 minutes
.30=18 minutes
.45=27
.60=36
.75=45
.90=54
and obviously
1.0 is 60 minutes
(((EVERY .05 IS THREE MINUTES))))
The longest is 4/6 of a hr and the shortest is 1/6 of a hr
Subtract -3/6 hr
