Answer:
The equation that represents the population after T years is
![P_{t} = 7,632,819,325 [1 +\frac{1.09}{100} ]^{T}](https://tex.z-dn.net/?f=P_%7Bt%7D%20%20%3D%207%2C632%2C819%2C325%20%5B1%20%2B%5Cfrac%7B1.09%7D%7B100%7D%20%5D%5E%7BT%7D)
Step-by-step explanation:
Population in the year 2018 ( P )= 7,632,819,325
Rate of increase R = 1.09 %
The population after T years is given by the formula
![P_{t} = P [1 +\frac{R}{100} ]^{T}](https://tex.z-dn.net/?f=P_%7Bt%7D%20%20%3D%20P%20%5B1%20%2B%5Cfrac%7BR%7D%7B100%7D%20%5D%5E%7BT%7D)
-------- (1)
Where P = population in 2018
R = rate of increase
T = time period
Put the values of P & R in above equation we get
This is the equation that represents the population after T years.
The answer fam is......... 3x – 4y = 4
Answer:
The initial value in the word problem is the output value when input value is set to zero.
Step-by-step explanation:
- In the question, it is given that a problem uses a linear function.
- It is required to explain how to interpret the initial value in a word problem.
- In order to find the initial value in a world problem, find the output value when input value is set to zero.
- If the initial value is marked as b for a linear function f(x), find it as follow,
Answer:
The slope is 1/3
Step-by-step explanation:
Take 2 points on the line, lets use (0,50) and (30,60)
x1 y1 x2 y2
Use slope formula:
y2 - y1 / x2 - x1
60 - 50 / 30 - 0
10 / 30
which can be simplified to:
1/3
1. Slope 3/4, through (4,-1)
y = 3/4 x + b
-1 = 3/4(4) + b
-1 = 3 + b
-1 - 3 = b
-4 = b
y = 3/4 x - 4
2. Slope = - 1/2, through (3,0)
y = -1/2 x + b
0 = -1/2(3) + b
0 = -1.5 + b
0 + 1.5 = b
1.5 = b
y = -1/2 x + 1.5
