Answer matt had 5 library books. he checked 1 additional book out every week without returning any books. which equation describes the number of books he has, y, after x weeks?
a. y = 5x
b. y = 5 - x
c. y = 1 + 5x
d. y = 5 + x

D. y = 5 + x

Step-by-step explanation:

At first Matt has 5 books, so initially the number of books 'y' is:

y = 5

And then every week he checked 1 book, so when 'x' number of weeks passed he checked (we multiply the number of books per week by the number of weeks 'x'):

1*x = x    number of books

this 'x' books are adiotional to the initial 5 books that he had.

So After x weeks he will still have the 5 initial books plus 'x' more books,

this gives us the equation that describes the total number of books:

y = 5 + x

the answer is:

the answer is:

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

have a nice day!