MATHEMATICS HIGH SCHOOL

A swimming pool is draining at a constant rate. The table shows the proportional relationship between the change in the water level and the number of hours the pool is draining. Find the constant of proportionality. Then find the change in the water level at 9 hours and at 23 hours of draining.Draining Swimming Pool
Hours Draining
Change in Water Level​ (in.)
2
3.5
9
​?
17
29.75
23
​?
The swimming pool is draining at a rate of
nothing inches per hour.
​(Type an integer or a​ decimal.)
Enter your answer in the answer box and then click Check Answer.

Answers

Answer 1
Answer:

Answer:

first answer:-1.75

second:-15.75

third:-40.25

Step-by-step explanation:i am too lazy srry
Answer 2
Answer:

Final answer:

The constant of proportionality is 1.75 inches per hour. The change in water level at 9 hours of draining is 15.75 inches, and at 23 hours of draining it is 40.25 inches.

Explanation:

The constant of proportionality represents the rate at which the water level is changing over time. To find the constant of proportionality, we can use the formula: constant of proportionality = change in water level / number of hours. Comparing the data in the table, we can find that when the number of hours is 2, the change in water level is 3.5. Therefore, the constant of proportionality is 3.5 / 2 = 1.75 inches per hour.

Next, to find the change in water level at 9 hours, we can multiply the number of hours by the constant of proportionality: 9 x 1.75 = 15.75 inches. Similarly, for 23 hours, the change in water level is 23 x 1.75 = 40.25 inches.

Learn more about constant of proportionality here:

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