The library carries a total of 750 biography, mystery, fantasy, and science
fiction books. There are 3 times as many science fiction books as fantasy books, twice as many mystery books as
fantasy books, and four times as many biographies as fantasy books. Write an equation that describes the
number of each type of book in the library. How many of each genre is there in the library?

3F+2F+4F+F=750

science fiction=225

mystery=150

biographies=300

fiction=75

Step-by-step explanation: To find the equation, read through the question and write down any important information, such as there are 2 twice as many mystery book as fiction books (2*fiction books=mystery books). Once you have all the information written down place it in an equation set equal to the total (750).

After you have found the equation, solve for the fiction books (F) by isolating the variable.  3F+2F+4F+F=750, 10F=750, F=750/10, F=75.

After that you plug 75 into the equation. Which would get you 3*75= 225 science fiction books 2*75= 150 mystery books and 4*75=300 biographies

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0