A caterpillar started at point (−2.5, −5.5) on a coordinate plane. She crawled in a straight line through the origin to point (45, y). What is y?

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form [tex]y/x=k[/tex] or [tex]y=kx[/tex]

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

In this problem the line passes through the origin

therefore

Is a proportional variation

Find the value of k

with the point [tex](-2.5,-5.5)[/tex]

[tex]k=y/x=-5.5/-2.5=2.2[/tex]

The equation is equal to

[tex]y=2.2x[/tex]

so

For [tex]x=45[/tex]

substitute

[tex]y=2.2(45)=99[/tex]

fatimakincsem fatimakincsem · Answer 2 · 2019-03-10T00:10:15+01:00

fatimakincsem fatimakincsem

10-03-2019

Answer: the value of y is 99

Starting point of the caterpillar = (−2.5, −5.5)

Crawled to the coordinate = (45, y)

y =?

Given that, it crawled in a straight line:

x and y are two variables that are directly proportional to one another

y/x = k

Where k is the constant of proportionality since it passes through the origin

-5.5/-2.5 = k

2.2 = k

So,

y/x = 2.2

So take the coordinate (45,y)

y =2.2 * 45

y = 99

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