Andre has 45 sheets of paper and needs to buy more. a store has 5 reams of paper, and
ream contains 500 sheets of paper. the number of sheets of paper andre has after
purchasing x reams is represented by a function.
f(x) = 500x + 45
what is the practical domain of the function?
all real numbers from 1 to 5, inclusive
all integers from 1 to 5, inclusive
all real numbers
{545. 1045, 1545, 2045, 2545}
ne

"all integers from 1 to 5, inclusive"

Step-by-step explanation:

Domain is the set of x values (input) can makes the function defined.

Thus, we need to find which values can we put into the function, so that the output is valid.

Now,

f(x) = 500x + 45

This tells us that there are initially "45" sheets and more can be modeled using "500x" which says that x reams multiplied by 500 sheets per ream.

So , we understand that x is the number of ream of paper available.

Looking at the problem, we see that the store has 5 reams of paper.

Hence, the domain can be 1 ream, 2 ream...5ream

So, that 1 to 5, inclusive (integers, not real numbers)

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.