Big Ideas Math Integrated I, 2016
BI
Big Ideas Math Integrated I, 2016 View details
3. Solving Inequalities Using Multiplication or Division
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Exercise 19 Page 71

Let p be the price of each fish.

Inequality: 5p≤ 12
Solution: p≤ 2.4

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. $12
  2. five fish
  3. price per fish
Our fish budget is $12. This means that we can spend no more than $12 on fish. We can express this with the inequality symbol ≤. ...≤... The amount we spend on fish must be no more than $12. amount spent on fish≤ 12 We are also given that we will buy 5 fish. If we call the price per fish p and multiply this number by the number of fish we will buy, we can form an expression for the total amount spent on fish. The inequality can now be written as follows. 5p≤ 12 To find the number of fish we can buy, we will solve the inequality by isolating the variable.
5p≤ 12
p≤ 12/5
p≤ 2.4
Since p is the price per fish, if we want to buy 5 fish on a $12 budget we can spend no more than $2.40 per fish.