Complete the following sentences. In a relationship that varies directly, as one amount increases, the other amount blank In a relationship that varies inversely, as one amount increases, the other amount blank ASAP

1) Increases

2) Decreases

Step-by-step explanation:

For direct proportion, the general equation is y= kx, where k is a constant.

Take for example the equation y= 4x.

When x= 1, y= 4(1)= 4

Since y is dependent on th value of x, let's substitute x with a larger number and see what happens to y.

When x= 3, y= 4(3)= 12

Notice that when x changes from 1 to 3, y increases from 4 to 12.

∴ In a relationship that varies directly, as one amount increases, the other amount increases.

Inverse proportion has a general equation of .

Let's use as an example.

When x= 1, y= 4÷1= 4

When x= 4, y= 4÷4= 1

This time, when x increases from 1 to 4, y decreases from 4 to 1.

∴ In a relationship that varies indirectly, as one amount increases, the other amount decreases.

answer: no, but if it does it's a obvious pattern.

step-by-step explanation:

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl