Question

Write a short statement that expresses a possible relationship between the variables.

(volume of gas tank, cost to fill the tank)
Question content area bottom
Part 1
Choose the correct answer below.
A.
As the volume of a gas tank​ increases, the cost to fill the tank decreases.
B.
As the cost to fill a gas tank​ increases, the volume of a gas tank increases.
C.
As the cost to fill a gas tank​ increases, the volume of a gas tank decreases.
D.
As the volume of a gas tank​ increases, the cost to fill the tank increases.

Answer 1

The cost to fill a gas tank typically increases as the volume of the gas tank increases, adhering to the principles of proportion between volume and cost if the price per unit of gas remains the same. Therefore correct option is D

Step-by-step explanation:

The statement that expresses a possible relationship between the variables volume of a gas tank and cost to fill the tank is:

D. As the volume of a gas tank​ increases, the cost to fill the tank increases.

This makes sense because the cost to fill a gas tank is generally proportional to the amount of gas needed to fill it. The larger the volume, the more gas it will hold, and thus, the higher the cost. This is in line with the principle that pressure and volume are inversely related, so if the volume increases and the gas price per unit remains constant, the total cost must also increase.