Graph of Parallel lines shows a system of equations with no solutions
Step-by-step explanation:
Consider a set of equations
If we solve this both equations using any one of the solving method, (Substitution method) then we will get
substituting the following x in 2nd equation (21x + 6y = 24) We get
Put y= -2 in x equation
Comparing these (x,y) values we can understand that they never meet at a point
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
