Question

bike rental
(0, 12)
(2, 20)
(4, 28)
(6, 36)
(8, 44)

Explanation:

Step1: Identify linear pattern

First, find the slope between points. Take (0,12) and (2,20):
Slope $m = \frac{20-12}{2-0} = \frac{8}{2} = 4$

Step2: Verify linear equation

Use slope-intercept form $y = mx + b$. $b=12$ (y-intercept from (0,12)), so equation is $y=4x+12$.
Check (4,28): $y=4(4)+12=16+12=28$ ✔️
Check (6,36): $y=4(6)+12=24+12=36$ ✔️
Check (8,44): $y=4(8)+12=32+12=44$ ✔️
All points fit the linear relationship.

Answer:

All given points (0, 12), (2, 20), (4, 28), (6, 36), (8, 44) lie on the line $y=4x+12$ and are valid for the bike rental graph. If the task is to confirm all fit the pattern, all options are correct. If plotting, each point corresponds to $x$ (hours?) and $y$ (cost?) where cost starts at 12 and increases by 4 per unit $x$.