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.

a.

step-by-step explanation:

step 1 distribute 2 to every term in the parentheses

step 2 add 10 on both sides of the equal sign

b) 1/3 * 1/5

step-by-step explanation:

each smallest part is 1/15 since the written one is 1/5 and it's divided by 3 equal parts. (1/5 )/3 = 1/15 = 1/3 * 1/5