Question

The table represents a linear function. Find the values of a, b, and c. Show your work.

x | y
a 7
3 8
5 9
7 b
c 11

Answer 1

mx+n=y

m*3+n=8

m*5+n=9

=>m*5+n-(m*3+n)=9-8

2m=1 => m=1/2

½ *3+ n =8

n=8-3/2

n=13/2

=> y=x/2 +13/2

y=(x+13)/2

7=(a+13)/2; a+13=14 => a=1

b=(7+13)/2; b=20/2; b=10

11=(c+13)/2, c+13=22 => c=9

Answer 2

a = 1, b = 10, c = 9

Explanation:

x is increasing by positive two from each number and y is increasing by 1 from each number.