Big Ideas Math Integrated I, 2016
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Big Ideas Math Integrated I, 2016 View details
3. Solving Inequalities Using Multiplication or Division
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Exercise 29 Page 71

Start by finding the area of the room.

Simplified Inequality: c≤ 3.57
Units: See solution.

Practice makes perfect
Your bedroom floor is a square that measures 14 feet by 14 feet. We can find the area A of the room using the length of the sides s and the formula for the area of a square.
A=s^2
A=( 14 ft)^2
A=14^2 ft^2
A=196 ft^2
We have a maximum budget of $700 to buy a carpet for the room. If we let c represent the cost per square foot of the carpet, we can write an inequality to represent this situation. 196c≤ 700; ft^2 , dollars We can now isolate c to find the maximum allowed cost per square foot of the carpet by dividing both sides of the inequality by 196.
196c ≤ 700
c ≤ 3.57142...
c≤ 3.57
The cost per square foot should be less than or equal to $3.57. c≤ 3.57; dollars/ft^2