Aswimming pool holds 10,000 gallons of water. it is being filled at a rate of 400 gallons per hour.

part a: write an equation for the function modeling the number of gallons of water, y, in the pool x hours after it began to be filled.

part b: what is the rate of change of this function?

We are told that dV/dt=400 gal/hr so that is the rate asked for in part B.

So to find the function for V(t) you need to integrate dV/dt...

V(t)=⌠400 dt

V(t)=400t +C, where C is the initial volume which is not specified so we can assume that C=0, or in terms of y and x for the labels...

y(x)=400x

a minimum of $1,200

Step-by-step explanation:

The flexible spending accounts (FSA) and health savings accounts (HSA) are basically accounts that help pay for your medical bills and therefore, drastically reduce the total amounts that you would have to pay out-of-pocket. Therefore, in this scenario, if Mason does not use an FSA or HSA then he would have to make a minimum of $1,200 to completely pay off his medical bill in full. Otherwise, he would still owe money.