Richard is making a budget for his 5-day trip to Virginia Beach. First, he sets an amount of money he thinks he'll need for each day of the trip. In all, Richard figures he'll need more than $800 for the whole trip. Let x represent how much money Richard budgets for each day. Which inequality describes the problem? Choices: (A)5x ≥ 800 (B)5x 800 Solve the inequality. Then, complete the sentence to describe the solution. Richard budgets more than $____ for each day.

Question

Richard is making a budget for his 5-day trip to Virginia Beach. First, he sets an amount of money he thinks he'll need for each day of the trip. In all, Richard figures he'll need more than $800 for the whole trip.  Let x represent how much money Richard budgets for each day. Which inequality describes the problem?   Choices: (A)5x ≥ 800 (B)5x > 800    Solve the inequality. Then, complete the sentence to describe the solution. Richard budgets more than $____ for each day.

Bytelearn · Accepted Answer

Understand the problem:  Question Prompt: Determine which inequality correctly represents Richard's budgeting for his trip and calculate how much he budgets per day. Formulate the inequality:  Step 1: Understand the problem. Richard needs more than $800 for 5 days. Let x be the daily budget. The inequality should reflect ＂more than $800＂ for 5 days. Solve the inequality:  Step 2: Formulate the inequality. Since he needs more than $800 in total for 5 days, the correct inequality is 5x > 800. This means each day's budget multiplied by 5 should be greater than $800. Conclusion:  Step 3: Solve the inequality 5x > 800. Divide both sides by 5 to isolate x: 5x > 800 x > 800 / 5 x > 160.  Step 4: Conclusion. Richard budgets more than $160 for each day.

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