Question

Каждую секунду в бассейн поступает 0,5 м в кубе воды. Сколько кубометров воды станет в бассейне через х с, если сейчас в ней 120 м в кубе воды? Задайте формулой зависимость объёма воды в бассейне от времен и его наполнения. Является ли эта зависимость линейной функцией

Answer 1

У=120+0,5х, у количество воды в бассейне, х время наполнения
функция линейная

Answer 2

Calculating the Volume of Water in the Pool

To calculate the volume of water in the pool after a certain amount of time, we can use the formula: V(t) = V(0) + 0.5t Where: - V(t) is the volume of water in the pool after time t - V(0) is the initial volume of water in the pool - 0.5 is the rate of water inflow in cubic meters per second - t is the time in seconds

Applying the Formula

Given that the pool currently contains 120 cubic meters of water and water is entering the pool at a rate of 0.5 cubic meters per second, we can use the formula to find the volume of water in the pool after a certain amount of time.

Substituting the given values: V(t) = 120 + 0.5t

Is the Dependency Linear?

The dependency of the volume of water in the pool on time and its filling is linear, as it follows the form y = mx + c, where m is the rate of change and c is the initial value. In this case, the rate of change is constant at 0.5, indicating a linear relationship between the volume of water and time.

Let's calculate the volume of water in the pool after a specific time using the given formula.