165k views
4 votes
A pool has some initial amount of water in it. Then it starts being filled so the water level rises at a rate of 6 centimeters per minute. After 20 minutes, the water level is 220 centimeters

Graph the pool's water level (in centimeters) as a function of time (in minutes).

A pool has some initial amount of water in it. Then it starts being filled so the-example-1
User Codacopia
by
8.2k points

2 Answers

2 votes

Answer:

Coordinate#1: (15,190)

Coordinate#2: (20,220)

Explanation:

A pool has some initial amount of water in it. Then it starts being filled so the-example-1
User Hans Musgrave
by
7.7k points
4 votes

The graph of the pool's water level as a function of time is a straight line with a slope of 6, reflecting a constant rate of increase. The initial water level is 100 centimeters, and after 20 minutes, it reaches 220 centimeters.

To graph the pool's water level as a function of time, we can use the equation of a linear relationship, where the water level (y) is a function of time (x). The equation for this scenario is y = mx + b, where m is the rate of change and b is the initial amount.

Given that the water level rises at a rate of 6 centimeters per minute, the slope (m) is 6. We know that after 20 minutes, the water level is 220 centimeters, so we can use this information to find the y-intercept (b). Substituting the values, we get 220 = 6(20) + b, which gives b = 100.

Now, the equation representing the water level as a function of time is y = 6x + 100. This linear equation can be plotted on a graph, where the x-axis represents time (in minutes) and the y-axis represents the water level (in centimeters). The slope of 6 indicates a constant rate of increase, and the initial value of 100 represents the starting water level.

The graph will be a straight line sloping upwards from left to right, indicating a steady increase in the water level over time.

A pool has some initial amount of water in it. Then it starts being filled so the-example-1
User Nautilus
by
7.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories