Answer:
Where:
And we can find the intercept using this:
On this case the correct answer would be:
E. none of the above
Since the intercept has no association between the increase/decrease of the dependent variable respect to the independent variable
Step-by-step explanation:
Assuming the following options:
A. there is a positive correlation between X and Y
B. there is a negative correlation between X and Y
C. if X is increased, Y must also increase
D. if Y is increased, X must also increase
E. none of the above
If we want a model 
where m represent the lope and b the intercept
Where:
And we can find the intercept using this:
On this case the correct answer would be:
E. none of the above
Since the intercept has no association between the increase/decrease of the dependent variable respect to the independent variable
Answer:
The answer is B
Step-by-step explanation:
1] Given that the value of x has been modeled by f(x)=12500(0.87)^x, then:
the rate of change between years 1 and 5 will be:
rate of change is given by:
[f(b)-f(a)]/(b-a)
thus:
f(1)=12500(0.87)^1=10875
f(5)=12500(0.87)^5=6230.3
rate of change will be:
(6230.3-10875)/(5-1)
=-1161.2
rate of change in years 11 to 15 will be:
f(11)=12500(0.87)^11=2701.6
f(15)=12500(0.87)^15=1,547.74
thus the rate of change will be:
(1547.74-2701.6)/(15-11)
=-288
dividing the two rates of change we get:
-288/-1161.2
-=1/4
comparing the two rate of change we conclude that:
The average rate of change between years 11 and 15 is about 1/4 the rate between years 1 and 5.
The answer is D]
2] Given that the population of beavers decreases exponentially at the rate of 7.5% per year, the monthly rate will be:
monthly rate=(n/12)
where n is the number of months
=7.5/12
=0.625
This is approximately equal to 0.65%. The correct answer is A. 0.65%
Package A = $276 for 12 tickets (2 x 6) // 276 divided by 12 = $23 per ticket
Package B = $336 for 16 tickets (2 x 8) // 336 divided by 16 = $21 per ticket
$23 - $21 = $2
Package A charges $2 more per ticket.
PEMDAS states that the value in the parenthesis should be evaluated first:
4(5*6)
4(30)
After just multiply the value in the parenthesis by the number outside of the parenthesis:
120
