Ella runs a cat rescue center. she started with 2 cats, and her center has an increase of 5 cats per year. which of the graphs below represents the number of cats per year at ella's center?
graph of line going through 2, 5 and 5, 8
graph of line going through 1, 7 and 2, 12
graph of line going through 1, 1 and 3, 3
graph of line going through 1, 3 and 2, 8

B. Graph of line going through 1, 7 and 2, 12

Step-by-step explanation:

Given : Ella  started with 2 cats

            Her center has an increase of 5 cats per year.

Solution : let x denotes the no. of years

So, every year increase of no. of cats is 5x .

And initially she had two cats .

So, every year no. hats she have (y) : 2+5x

Thus , y = 5x+2 is the required equation

comparing this equation with general form of equation of line i.e. y = mx +c

⇒ m = 5 (Slope of line )

in each option we are given two points

So, this m need to be calculated by formula of  slope of two point line equation i.e.

if we use points of option second then :

So, we are getting the same value of m which we got after compairing the equations .

hence,  graph of line going through 1, 7 and 2, 12 is the correct one

you ignore the remainder, therefore the answer is y = x+2

step-by-step explanation:

you have to divide the denominator by the numerator. you can use synthetic division or long division.

[-5] .     1 .     7 .     11

x + 2 + 1/x+5