contestada

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?

Respuesta :

apologiabiology
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

The Wayne ascends at faster speeds, the correct option is A.

What is a Function?

A function is a law that relates two variables namely, a dependent and an independent variable.

A function always has a defined range and domain, domain is all the value a function can have as input and range is all the value that a function can have.

The function for ascending of Wayne is

y = 30x -105

This represents a straight line equation, y = mx +c,

m is the slope = 30

intercept = -105

The rate of ascending of Winston has to be determined from the data in the table.

The slope m for two points can be determined as,

m = (y₂ -y₁)/(x₂ -x₁)

m = ( -16 +100) / (3-0)

m = 84 /3

m = 28

The slope of Wayne is more than the slope of Winston

30 > 28

Your question seems incomplete, the complete question is as follows:

Wayne ascends at a faster speeds

Winston Ascends at a faster speed

Wayne and Winston ascend at the same speed

Wayne was deeper when he began ascending

Winston was deeper when he began ascending

Select all true statements

To know more about Function

https://brainly.com/question/12431044

#SPJ5

Otras preguntas