Question

an animal shelter had 14 cats at the beginning of the year. since then it has taken in 4 stray cats per week Identify key features of the graph of this function.

Answer 1

y=4*x+14 would be your answer

Answer 2

The graph for this scenario will have the following key features:

(1) it will show the number of cats as a function of time (ie., at a given week)

(2) the graph will be linear, showing a linear relationship between the number of cats and time

(3) the slope of the line will be 4, since every week there will be 4 more cats in the shelter than the week before

(4) the y-intercept will at 14 because at time 0 (week 0) there were 14 cats to start with.

(5) The function in slope intercept form:

y = 4*x + 14

Let me know if you have questions.