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 11 Page 70

Let x be the number of copies we can afford.

Inequality: 0.25x ≤ 3.65
Number of Copies: 14

Practice makes perfect

Let's start by translating the given information into algebraic symbols and operations. There are three key pieces of information we will use to find our solution.

  1. at most
  2. $3.65
  3. $0.25
The phrase at most can be expressed as ≤. This symbol will be at the center of our inequality. ...≤ ... Coming immediately after the at most is the budget, $3.65 This should be expressed on the right-hand side of the inequality. ... ≤ 3.75 We are also informed that each copy costs $0.25. If we multiply the cost per copy with the number of copies you buy x, the product should be less than or equal to the right-hand side of the inequality. 0.25x ≤ 3.65 To find the number of copies we can buy, we will solve the inequality by isolating the variable.
0.25x ≤ 3.65
x≤ 14.6
Since we cannot buy a fraction of a copy, we have to round the number of copies down to 14.