The rabbit population in a certain area is 200% of last years population. there are 1,100 rabbits this year. how many were there last year?

550

Step-by-step explanation:

We can write a proportion to find the total amount using the information given. A proportion is two equivalent ratios set equal to each other. Since we know the population increased to 200% of last year and is 1,100.

We will cross multiply the numerator of one ratio with denominator of the other. And then solve for y.

200y=100(1100)

200y=110,000

y=550

There was 550 rabbits last year.

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: