A swimming pool is filled with water at a constant rate of 9 gallons every 10 minutes. After 30 minutes, the pool is filled with 55 gallons of water. Which equation represents this relationship ?

F. y= 9x + 55

G. y= 10x + 28

H. y= 9/10x + 28

J. y= 9/10x + 55

well my teacher expained and supposably its G y = 10x + 28 because the 10 has to be by its self and not on a fraction! well that what she said so ya

To find the equation that represents this relationship, we need to consider the following facts:

- The pool is filled with water at a constant rate of 9 gallons every 10 minutes.
- After 30 minutes, the pool is filled with 55 gallons of water.

Let's break down the steps to find the correct equation:

1. First, we need to determine the rate at which the pool is filled. The rate is given as 9 gallons every 10 minutes.

2. We need to find how many sets of 10 minutes have passed in 30 minutes. Dividing 30 by 10, we get 3 sets.

3. Now we multiply the number of sets (3) by the rate (9 gallons every 10 minutes) to find the total amount of water that has been filled in 30 minutes. 3 sets x 9 gallons = 27 gallons.

4. Finally, we need to add this total amount (27) to the initial amount (55) to get the final amount of water in the pool after 30 minutes. 27 gallons + 55 gallons = 82 gallons.

Based on these calculations, the correct equation is:

y = (9/10)x + 82

Since none of the given options matches this equation, none of the provided equations represents this relationship accurately.

To find which equation represents the relationship between the time and the amount of water in the swimming pool, we can use the given information.

We know that the swimming pool is filled with water at a constant rate of 9 gallons every 10 minutes. This means that for every 10 minutes that pass, 9 gallons of water are added to the pool.

After 30 minutes, the pool is filled with 55 gallons of water. This can be interpreted as 3 intervals of 10 minutes each, which means that 3 times 9 gallons (27 gallons) were added to the pool. Therefore, the initial amount of water in the pool was 55 gallons - 27 gallons = 28 gallons.

Now we can determine the equation that represents this relationship. We have the equation y = mx + b, where y represents the amount of water in the pool and x represents the time in minutes.

The given options are:

F. y = 9x + 55
G. y = 10x + 28
H. y = (9/10)x + 28
J. y = (9/10)x + 55

By analyzing the information we have, we can see that the correct equation is option G. This equation represents the relationship between the time (x) and the amount of water in the pool (y), considering that 10 minutes pass and 10 gallons of water are added. So, for every 10 minutes, the pool gains 10 gallons of water.

Therefore, the equation that represents this relationship is y = 10x + 28.

well, 27+28 = 55