Question

Andre has 45 sheets of paper and needs to buy more. A store has 5 reams of paper, and each 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?
a. all integers from 1 to 5, inclusive
b. all real numbers from 1 to 5, inclusive
c. {545, 1045, 1545, 2045, 2545}
d. all real numbers

Answer 1

Answer: all integers from 1 to 5, inclusive.

Explanation:

Answer 2

a. all integers from 1 to 5, inclusive

Explanation:

Given equation that shows the number of sheets of paper Andre has after purchasing x reams,

f(x) = 500x + 45,

Where,

45 = sheets contained by Andre initially,

500 = sheets contained by each ream,

Since, Andre can buy minimum 1 ream and maximum 5 ream ( because store has 5 reams ),

Also, number of ream must be a positive integer,

Thus, the possible values of x = { 1, 2, 3, 4, 5 }

That is, domain of f(x) = all integers from 1 to 5, inclusive.

Hence, Option 'a' is correct.