To get the exponential model we use the form:
y=abˣ
where:
a=initial value
b=growth factor
y=number of years
thus using point (1,63) and (2,226)
the growth factor will be:
b=(226/63)=3.587~3.6
a=63
thus the formula for the function will be:
A(y)=a(3.6)^y
substituting (1,63) in the equation and solving for a.
63=a(3.6)^1
thus
a=63/3.6=17.5
hence the formula will be:
A(y)=17.82(3.6)^y
Answer: D] 17.5(3.6)^y
2] The number of acres defoliated after 5 years will be as follows:
y=5 years
A(y)=17.82(3.6)^y
plugging in the value we get:
A(y)=17.82(3.6)^5
simplifying the above
A(y)=10775.07
A(y)=10775
Answer: D
the answer is <u><em>A. two pairs of corresponding angles</em></u> because I just took the quiz and I got it right hope this helps!
Answer:
In step 3
Step-by-step explanation:
Use this equation y = a (1 - b)^x
Where a is the initial population and b is the decay factor: 40/100 = 0.4
Therefore, the answer is that the decay factor b is 0.4.
This table shows some figures using the decay factor.
year decrease population
0 0 a(1 - 0.4)^0 = a
1 a*0.4 a (1 - 0.4)^1 = a*0.6 = 0.6a
2 0.6a*0.4 a(1 - 0.4)^2 = a(0.6)^2 = 0.36a
3 0.36a*0.4 a(1 -0.4)^3= a(0.6)^3 = 0.216a
Point C can be located on points (-3,2)