Step-by-step explanation:
As
- The graph of the function passes through the point (2,1), and
- y increases by 4 when x increases by 1.
so
x y
2 1
3 5
4 9
5 13
6 17
and so on
From the table:




As the slope-intercept form of the line is

putting m=4 and any point, let say (2, 1) to find y-intercept 'b'.




So putting
and
in the slope-intercept form of the line


Therefore, the equation for the linear function will be:

Answer:

Step-by-step explanation:
Let b be the number of balloons and h be number of party hats.
We have been given that balloons cost $0.50 each, so cost of b balloons will be 0.50b.
We are also told that party hats each cost $1.25, so cost of h party hats will be 1.25h.
Further, Joe wants to spend exactly $20 on the party supplies. We can represent this information in an equation as:

Therefore, the equation
represents the number of balloons ( b) and the number of party hats ( h) that Joe can buy spending exactly $20.
at first we write each one as a sequence
and find its equation
the first table
-19, -11, -3, 5
8x-19
the third table
15,12,9,6
-3x+15
the second table
-1. 5,1.5,3,4.5
+3 +1.5 +1.5
so the third table is the nonlinear function