Answered

The height of a stack of books, h inches is directly proportional to the number of books, n . The height of a stack of 10 books is 12 inches.


-Find the constant of proportionality

-Write and equation that relates to HandN

-Find the height of a stack of 24 books

Verified Answer :

bcalle

y=kx is the direct variation formula. Inserting the information and variables from this scenario we get h = kn.
12 = k(10) First solve for 'k', the constant of proportionality by dividing by 10.
1.2 = k
Next write the equation using this k and the h & n.
h = 1.2n
Now we want to find the height if we have 24 books so plug 24 in for n.
h = 1.2 * 24
h = 28.8 inches

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