I've determined that 5x<=y>=$150,000 but do not know where to go next.
As the owner of a business, you must make sure that you spend no more than you have. Unfortunately, you often must plan how the business will spend its money before the money has come in.
Let us say that it is the beginning of the second quarter of the year. You must put together a budget for the rest of the year. You are about to learn how much money the business made during the first quarter, and you can use this information to project how much money the business will make during the rest of the year (to project data is to make a prediction about data you do not have based on data you do have). Even though you have not yet learned how much money the business made during the first quarter, you have good reason to believe that during the rest of the year, the business will bring in about five times as much money.
You must be sure that you plan to spend less money than you expect to come in. At the same time, you know that the business will require a minimum of $150,000 to continue to exist during that time. Whatever budget you plan will include at least that much.
Your budget will be based on these two restrictions. The amount of money you spend in the rest of the year must NOT be more than five times what the business made last quarter, AND it must be at least $150,000.
Your task is to do the following:
• Write these two restrictions as a system of inequalities relating the amount you will spend in the rest of the year to the amount the business brought in last quarter. As always, be clear about which is which.
• Describe the graph of this system in words, indicating whether full or broken lines are used for each inequality and where there is shading.
• Name at least one pair of values that is a solution to the system.
Remember to use <= and >= to indicate “is less than or equal to” and “is greater than or equal to,” respectively. Place your response below. Create more space for it as needed.
As the owner of a business, you must make sure that you spend no more than you have. Unfortunately, you often must plan how the business will spend its money before the money has come in.
Let us say that it is the beginning of the second quarter of the year. You must put together a budget for the rest of the year. You are about to learn how much money the business made during the first quarter, and you can use this information to project how much money the business will make during the rest of the year (to project data is to make a prediction about data you do not have based on data you do have). Even though you have not yet learned how much money the business made during the first quarter, you have good reason to believe that during the rest of the year, the business will bring in about five times as much money.
You must be sure that you plan to spend less money than you expect to come in. At the same time, you know that the business will require a minimum of $150,000 to continue to exist during that time. Whatever budget you plan will include at least that much.
Your budget will be based on these two restrictions. The amount of money you spend in the rest of the year must NOT be more than five times what the business made last quarter, AND it must be at least $150,000.
Your task is to do the following:
• Write these two restrictions as a system of inequalities relating the amount you will spend in the rest of the year to the amount the business brought in last quarter. As always, be clear about which is which.
• Describe the graph of this system in words, indicating whether full or broken lines are used for each inequality and where there is shading.
• Name at least one pair of values that is a solution to the system.
Remember to use <= and >= to indicate “is less than or equal to” and “is greater than or equal to,” respectively. Place your response below. Create more space for it as needed.
