Solve the problem by defining the unknown variable, setting up an equation and s
ID: 3113639 • Letter: S
Question
Solve the problem by defining the unknown variable, setting up an equation and showing all work. Problems must be shown algebraically to receive credit. Show any formula used. One-foot ceiling tiles are sold in packages of 30. Find how many packages must be bought to cover a rectangular ceiling that is 14 times 18 feet. (a) Give the formula, (b) define a variable, (c) use the answer from part (a) to set up an equation, (d) find the number of packages needed. (a) ___________ (b) ___________ (c) ___________ (d) ________ packagesExplanation / Answer
14*18 = 252 square feet
so you need 252 tiles
1 foot ceiling tiles are sold in packages 30
so if there are 252 tiles it would require 252/30 = 8.4 boxes
a) formula
1 foot = 1 package of 30
n feet = [ n / 30 ] package
f(n) = n/ 30
hence , f(n) = number of packages
n = area of the ceiling
c) f(n) = 252/30
d) number of packages = 8.4
= 9 packages are needed
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