Question

A linear function that represents the number of animals adopted from the shelter is compared to a different linear function that represents the hours volunteers work at the shelter each week. Describe the key features of the functions that are needed to determine if these lines intersect.

Answer 1

Step-by-step explanation:

Step-by-step explanation:

Given the table:

Month              f(x) = Number of imports    g(x) = Number of exports

January (1)                3                                                1

February (2)             4                                                3

March (3)                  5                                                5

April (4)                     6                                                7

From the table, it is clear that:

Number of imports = number of month + 2

so

also

Number of exports  = 2(number of month) + 1

so

Therefore, the number of imports equals the number of months plus one. i.e., which is a linear function.

If we compare it with the slope-intercept form of the line

Then,

slope = m = 1

y-intercept = 2

Also number of exports equals is also a linear function.

i.e.  

Here,

slope = m = 2

y-intercept = -1