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Art [367]
3 years ago
11

A caterpillar started at point (−2.5, −5.5) on a coordinate plane. She crawled in a straight line through the origin to point (4

5, y). What is y?
Mathematics
2 answers:
alexgriva [62]3 years ago
6 0

Answer:

The value of y is 99

Step-by-step explanation:

we know that

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

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 (-2.5,-5.5)

k=y/x=-5.5/-2.5=2.2

The equation is equal to

y=2.2x

so

For x=45

substitute

y=2.2(45)=99

solong [7]3 years ago
3 0

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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