Use the point-slope formula.
y - y_1 = m(x - x_1)
Let m = 3
Let y_1 = 2
Let x_1 = 4
We now plug and chug.
y - 2 = 3(x - 4)
y - 2 = 3x - 12
We now isolate y.
y = 3x - 12 + 2
y = 3x - 10
Answer:
Equation: y = 65x
Randomly pick a x and y value and plug into above equation, if they don't equal then the x and y you've picked cannot be on this table.
Step-by-step explanation:
Pick any two points to find slope, let's got with (3, 195) and (4, 260):
slope m = (y₂- y₁) / (x₂ - x₁)
= (260 - 195) / (4 - 3)
= 65 / 1
m = 65
Find y-intercept by using m from above and another point from your table, let's go with (5, 325):
y = mx + b
325 = 65(5) + b
325 = 325 + b
b = 0
Use m and b to form equation of line:
y = mx + b
y = 65x + 0
y = 65x
Check:
point (3, 195): 195 = 65(3) ====> 195 = 195
point (4, 260): 260 = 65(4) ====> 260 = 260
point (5, 325): 325 = 65(5) ====> 325 = 325
point (6, 390): 390 = 65(6) ====> 390 = 390
Example of a point that doesn't belong on table:
point (8, 500): 500 = 65(8) ====> 500 ≠ 520
f(x)=2,459(0.92)^t
Using the information given above, complete the following statements. The percent change is %. The percent change represents .
f(x)=2,459(0.92)^t
Given equation is an exponential function and in the form of f(x) = a(1-r)^x
Where 'a' is the initial population
'r' is the decay rate
'x' is the time
f(x) = a(1-r)^x
Given function is f(x)=2,459(0.92)^t
1 - r = 0.92
r = 1 - 0.92
r = 0.08
r= 0.08 %
Percentage change = 0.08%
Percentage change represents the decay rate.
The constant of proportionality in terms of the cost per text is the coefficient of
in the equation
. Since the coefficient of
is 0.25, the constant of proportionality in terms of the cost per text is 0.25.
Proportionality constants are usually expressed as fractions, so lets convert 0.25 to a fraction. To do that we are going to add the denominator 1 to our decimal, and then we will multiply both numerator and denominator by ten for every number after the decimal point:
Finally, we can simplify our fraction:
We can conclude that the constant of proportionality in text of the cost per text is
1/4