Question

The accompanying graph represents the theoretical relationship between the volume and the temperature of a gas under constant pressure. image According to this graph, the volume of the gas is (5 points) Select one: a. directly proportional to the square of the temperature b. directly proportional to the temperature c. inversely proportional to the temperature d. inversely proportional to the square of the temperature

Answer 1

b. directly proportional to the temperature Based on the options given, the most likely answer to this query is volume of the gas is directly proportional to the temperature.Thank you for your question. Please don't hesitate to ask in Brainly your queries. 

Answer 2

Answer: The correct answer is Option b.

Explanation:

Direct relationship is defined as the relationship in which if one variable increases, the other also increases and vice-versa.

$x\propto y$

where, 'x' and 'y' are two variables.

Indirect relationship is defined as the relationship in which if one variable increases, the other variable decreases and vice-versa.

$x\propto \frac{1}{y}$

where, 'x' and 'y' are two variables.

In the question, the two variables are Temperature and Volume and to determine the proportionality of the two variables, we will look at the slope of the graph.

If the slope of the graph is positive, then these variables follow direct proportionality and if the slope is negative, then these variables follow inverse proportionality.

Slope of the graph is calculated by using the formula:

$\text{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\text{Slope}=\frac{800-600}{80-60}=\frac{200}{20}=10$

As, the slope is positive, so the volume and temperature follow direct proportionality.

Hence, the correct answer is Option b.