Q:

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

Accepted Solution

A:
Answer:a. all integers from 1 to 5, inclusiveStep-by-step 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.