Solve the Variation Problem

question 224

Multiple Choice

Solve the variation problem.
-The time in hours it takes a satellite to complete an orbit around the earth varies directly as the radius of the orbit (from the center of the earth) and inversely as the orbital velocity. If a satellite completes an orbit 680 miles above the earth in 9 hours at a velocity of 23,000 mph, how long would it take a satellite to complete an orbit if it is at 1700 miles above the earth at a velocity of 28,000 mph? Use 3960 miles as the radius of the earth, and round your answer to the nearest hundredth of an hour.

• A)2.71 hours
• B)9.02 hours
• C)90.18 hours
• D)18.48 hours

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Definitions:

Cost of Goods Sold

The costs directly associated with manufacturing the products a company sells, such as materials and labor expenses.

Contribution Margin

The amount of revenue from sales that exceeds variable costs, indicating how much contributes to covering fixed costs and generating profit.

Fixed Costs

Expenses that do not change with the level of production or sales activity, such as rent and salaries.

Traceable Fixed Expense

Fixed expenses that can be directly linked to a specific department, project, or segment within a company.