Question

Joseph borrowed a book from a library. The library charged a fixed rental for the book and a late fee for every day the book was overdue. The expression below shows the charges Joseph paid for the book when he returned it x days after the due date: 2 + 0.25x What does the coefficient of the expression represent? The fixed rental for the book The total late fee for the book The late fee per day for the book The number of days the book was overdue

Answer 1

the late fee per day for the book.

The late fee must have been 0.25 times the number of days late, in this case x.

2 must have been the fixed rental for the book.

Answer 2

The coefficient of the expression represents the late fee per day for the book.

We have a function -

f(x) = 2 + 0.25x

where - x represents the number of days joseph took after due date to return the book.

We have to find out the coefficient of the expression represent.

What is the coefficient of x, y and z in - 2x + 3y + 5z = 0 ?

The coefficients of x, y and z are 2, 3 and 5 respectively.

We have the following function -

f(x) = 0.25x + 2

It can be seen that the coefficient of the expression is 0.25. Since, 2 is independent of the number of days, it is constant. However, 0.25 is multiplied with the number of days. Therefore, the part 0.25x of the equation is the total rent due to late fees and 0.25 is the late fee per day for the book.

Hence, the coefficient of the expression represents the late fee per day for the book.

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