Wayne and Winston are scuba diving and are ascending to the surface. The function y = 30x − 105 represents Wayne’s elevation in

Question

2 months ago

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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?

Mathematics

1 answer:

Zina [12.3K] · Answer 1 · 2026-03-20T20:26:46+03:00

To determine the slope or rate for Winston between points (0, -100) and (3, -16), you use the formula slope=(y2-y1)/(x2-x1). This results in slope=(-16-(-100))/(3-0)=(-16+100)/(3)=84/3=28/1. The slope reflects the elevation gain. The linear equation is given by y=mx+b, where m represents the slope or rate of elevation gain and b is the y-intercept or starting point. Thus, we have y=30x-105, with a rate of change of 30. Comparing rates, 30 is greater than 28, indicating Wayne ascends at a slower pace than Winston. Additionally, the initial position where x=0 serves as the starting point, with Wayne starting at -100 and Wane at -105, meaning Wane commenced from a deeper level. Consequently, the valid statements include that Wayne rises at a quicker rate and began deeper.