McGraw Hill Glencoe Algebra 1, 2012
MH
McGraw Hill Glencoe Algebra 1, 2012 View details
5. Inequalities Involving Absolute Value
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Exercise 55 Page 316

He can spend at most $87.

Example Inequality: 6+22w≤ 87
Number of withdrawals: Up to 3

Practice makes perfect

Let's write an inequality for Jackson's situation. Let w be the number of withdrawals he can make. Notice that the total cost must be less than or equal to $87.

Verbal Expression Algebraic Expression
Monthly service fee ($) 6
Total fees paid for w withdrawals at out-of-network ATMs ($) 2w
Total amount withdrawn from out-of-network ATMs ($) 20w
Maximum amount of money that can be withdrawn 6+20w+2w≤ 87
We can simplify our inequality. 6+20w+2w≤ 87 ⇔ 6 + 22w ≤ 87 Now, let's solve it for w.
6+22w≤87
22w≤81
w≤3.68
If Jackson only makes out-of-network withdrawals of $20, he can make at most 3 withdrawals.