Example: Solving a Monthly Phone Bill Application with a Linear Inequality
When solving to keep a bill under a certain limit, apply the problem-solving strategy for inequalities. For example, if a phone plan costs $28.80 a month plus $0.20 per text message, and the bill must be no more than $50, let be the number of text messages. The translated inequality is . Subtracting from both sides gives . Dividing by yields . Thus, a maximum of 106 text messages can be made to keep the bill at or below $50.
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Ch.2 Solving Linear Equations - Intermediate Algebra @ OpenStax
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A project coordinator is calculating how many additional contractors can be hired for a seasonal project without exceeding the remaining grant funding. To solve this, they follow a standard seven-step problem-solving strategy. Arrange these steps in the correct sequence from first to last.
In a corporate setting, a manager uses a seven-step strategy to calculate the maximum number of employees that can attend a conference within a fixed travel budget. Which step of this process requires the manager to convert the budget's verbal constraints into a mathematical inequality?
An HR manager is using a seven-step strategy to determine the maximum number of new workstations that can be purchased within a department's quarterly budget. Match each of the following steps of the problem-solving strategy with its corresponding action.
Purpose of the Check Step
A project coordinator is using the seven-step strategy to determine the maximum number of laptops they can purchase for a new department while staying within a fixed budget. True or False: In the 'Solve' step of this strategy, the coordinator should use the Properties of Equality.
A prospective tenant is using a seven-step strategy to determine if their monthly income qualifies for a specific apartment rental. After solving the inequality and checking the result, the tenant must perform the final step of the strategy by stating the conclusion as a(n) ____.
Standardized Strategy for Inequality Applications
Professional Development Budgeting
A warehouse supervisor is using the seven-step strategy to determine the maximum number of inventory pallets a forklift can safely move in a single trip. According to this strategy, what is the primary goal of the Name step?
A facilities manager is using a seven-step strategy to determine the maximum number of energy-efficient windows that can be installed within a fixed renovation budget. According to this strategy, what is the specific objective of the Identify step?
Example: Translating and Solving a Budget Limit Inequality for Purchasing Items
Example: Translating and Solving a Budget Limit Inequality for an Event
Example: Solving a Monthly Phone Bill Application with a Linear Inequality
Example: Solving a Vacation Rental Application with a Linear Inequality
Example: Solving a Utility Bill Problem with a Linear Inequality
Example: Solving a Vacation Trip Budget Application with a Linear Inequality
Example: Solving a Destination Wedding Budget Application with a Linear Inequality
Example: Solving a Road Trip Budget Application with a Linear Inequality
Strategy for Solving Applications with Compound Inequalities
Learn After
In a corporate department, a manager uses the linear inequality to ensure a field technician's mobile expenses stay within the monthly budget. Match each component of the inequality with its correct functional description in this billing scenario.
In the context of a mobile billing scenario where a technician's usage is modeled by the inequality , the solution is found to be . What does this result indicate about the technician's text messaging limit?
A logistics company provides mobile phones to its field drivers. To ensure expenses stay within the monthly budget, the accounting department uses the linear inequality to model the text messaging limit. Arrange the following steps in the correct logical order to solve this inequality and determine the maximum number of texts () a driver can send.
A logistics company has a mobile service agreement that costs each month plus for every text message sent. To ensure the total bill does not exceed the monthly budget, the maximum number of text messages that can be sent is ____.
When managing a corporate budget where a company phone plan costs a fixed base rate of 28.80 dollars plus 0.20 dollars per text message, the linear inequality used to ensure the total monthly bill remains at or below a 50 dollars limit is .