Answer:
Function A is linear. Equation of A is y = 1.67x +0
explanation:
Function B shows that its not a linear function as the slope changes. Linear function always has the same slope. So function A is linear. and proportional in every step. Visual image given below.
To find the equation of A:
Take out two points from table: ( 3, 5 ) , ( 6 , 10 )
use the slope formula to find slope: [tex]\frac{y2-y1}{x2-x1}[/tex]
:[tex]\frac{10-5}{6-3}[/tex]
: [tex]\frac{5}{3}[/tex] or 1.67 ...this is slope in 2 decimal places, m
then formula to find equation: y - y1 = m( x - x1 )
: y - 5 = 1.67 ( x - 3 )
: y = 1.67x +0
