Question

Wayne and Winston are scuba diving and are ascending to the surface. The function y = 30x − 105 represents Wayne’s elevation in feet in terms of the time in minutes he ascends. The table represents Winston’s elevation in feet in terms of the time in minutes he ascends. Assume that Wayne and Winston both ascend at a constant rate.
x

y


0

-100


3

-16



Which statements about this situation are true?

Answer 1

First find slope or rate of winston(0,-100) and (3,-16)

slope=(y2-y1)/(x2-x1)
slope=(-16-(-100))/(3-0)=(-16+100)/(3)=84/3=28/1



wane slope or elevation gain
y=mx+b
m=slope or rate of elevaion gain
b=yintercept or starting oint
y=30x-105
slope or rate of change is 30


30 vs 28


wane acends faster than winston

also, the starting point or when x=0 point is the starting point
wane: -105 is start
winston: -100 is start

wane started deeper
so the true statements are
Wayne ascends at a faster speeds
Wayne was deeper when he began ascending