Determine if the graph shows two quantities that vary directly. if possible, determine the constant of proportionality. explain your reasoning.

The graph does not show two quantities that vary directly, because the line does not pass through the origin.

Step-by-step explanation:

By definition, you know that Direct variation equations have the following form:

Where "k" is the constant of proportionality.

The equation means that when "x" increases, "y" increases" and the ratio does not change.

Now, it is very important to remember the following:

 - The graph of a Direct variation equations is a line whose slope is "k".

- The line must passes throug the origin ()

Observe the graph provided.

As you can notice, the line does not pass through the origin; therefore, that graph does not show two quantities that vary directly.

answer: answer is c!

ok i got to organize the

3/15 and 12/55

3*

aha

3*4 equals 12 but not

a: no

b:

8/24 12/35

no

gautie

it's c

5/18 = 25/90

5*5=25

18*5 = 90

hope that you!

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step-by-step explanation:

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for