The Walter family just installed a swimming
ool in their backyardThey are filling it up
t a rate of 14 gallons per hour.
"art A) Define the input and output in the given scenario. (2 pt
art B) Write a function in function notation to model this ituation. (2 pts)
art C) How long will it take them to fill up the pool if the pool as a volume of 238 cubic gallons?(2 pts)
Part A)
Input: Time (in hours)
Output: Volume of water in the pool (in gallons)
Part B)
Let's define the function as f(t), where t represents time in hours and f(t) represents the volume of water in the pool in gallons. So, the function notation for this situation would be:
f(t) = 14t
Part C)
To find out how long it will take to fill up the pool with a volume of 238 cubic gallons, we need to solve the equation:
14t = 238
Dividing both sides by 14, we get:
t = 238/14
t ≈ 17. 'approximating answer to be a whole number
So, it will take approximately 17 hours to fill up the pool.