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:
![(y2-y1)/(x2-x1)](https://img.qammunity.org/2023/formulas/mathematics/middle-school/sjgz1fvowydouk6sw5i02b2w4cz5te0z47.png)
:
![(10-5)/(6-3)](https://img.qammunity.org/2023/formulas/mathematics/college/vx48aeb2wyceguawa91j2qrd3v8uffo0ej.png)
:
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