Answer:
The exponential function to model the duck population is:
f(n)=415*(1.32)^n, where:
x is the duck population
n is the number of years
Step-by-step explanation:
In order to calculate the duck population you can use the formula to calculate future value:
FV=PV*(1+r)^n
FV=future value
PV=present value
r=rate
n=number of periods of time
In this case, the present value is the initial population of 415 and the rate is 32%. You can replace these values on the formula and the exponential function to model the duck population would be:
f(n)=415*(1+0.32)^n
f(n)=415*(1.32)^n, where:
x is the duck population
n is the number of years
Answer:
8
Step-by-step explanation:
40 factors: 1 2 4 5 8 10 20
96 factors 1 2 3 4 6 8 12 16 24 32 48
Slope-intercept form of a line is y=mx+b.
Where m= slope and b= y-intercept.
First step is to compare the given equation y=35x+8 with the above equation to get the value of m.
After comparing the two equations we will get m=35.
Slope of paralle lines always equal which means slope of a line which is parallel to the above line will also be 35.
Now the line is passing through (-10,4).
Point slope form of a line is :

Next step is to plug in m=35, x1=-10 and y1=4 in the above equation. So,
y-4=35(x-(-10)
y-4=35(x+10)
y-4=35x+350
y=35x+350+4
y=35x+354.
So, the equation of the line is y=35x+354.
Put the bigger decimal on top