Question

In the context of relationships between variables, increases in the values of one variable are accompanied by increases in the values of the second variable in a ________ relationship.

Answer 1

Answer: Directly proportional.

Step-by-step explanation:

The increase of one variable which causes the other variable to increase points to a directly proportional relationship between the two variables. Similarly, the decrease of one variable will cause a decrease in the other variable.

One variable can also be the constant multiple of the other. This means that if one changes, the other one will change in PROPORTION to it.

Answer 2

You can use the proportionality relationship in which there is inverse and direct proportional relations.

The answer is:

Directly proportional

What is directly proportional and inversely proportional relationship?

Let there are two variables p and q

Then, p and q are said to be directly proportional to each other if

$p = kq$

where k is some constant number called constant of proportionality.

This directly proportional relationship between p and q is written as

$p \propto q$ where that middle sign is the sign of proportionality.

In a directly proportional relationship, increasing one variable will increase another.

Now let m and n are two variables.

Then m and n are said to be inversely proportional to each other if

$m = \dfrac{c}{n}\\\\or\\\\n = \dfrac{c}{m}$
(both are equal)

where c is a constant number called constant of proportionality.

This inversely proportional relationship is denoted by

$m \propto \dfrac{1}{n}\\\\or\\\\n \propto \dfrac{1}{m}$

As visible, increasing one variable will decrease the other variable if both are inversely proportional.

Thus,

The answer is:

Directly proportional

Learn more about directly proportional variables here;

https://brainly.com/question/18259958