Which situation could be modeled as a linear equation?

(1) The value of a car decreases by 10% every year.

(2) The number of fish in a lake doubles every 5 years.

(3) Two liters of water evaporate from a pool every day.

(4) The amount of caffeine in a person’s body decreases by 1/

3 every

2 hours.

In a linear model, the rate of change of the value of the variables is not exponential. This means that the value of the variables increases or decreases by simple addition or subtraction of a constant number.

Therefore, the situation that could be modeled as a linear equation is

(3) Two liters of water evaporate from a pool every day. The constant number being subtracted is 2 liters of petrol.

MrRoyal MrRoyal · Answer 2 · 2021-12-23T14:07:14+01:00

A model may be a linear function or a nonlinear function.

The situation that can be modeled as a linear equation is (3) two liters of water evaporate from a pool every day.

A linear function is used to represent a situation that changes at a constant rate.

From the list of given options, (1) (2) and (4) are nonlinear functions.

This is so because they all represent exponential function

However, (3) is a linear function.

Because the volume of water in the pool constantly reduces each day by 2 liters

Hence, the situation that can be modeled as a linear equation is (3)

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