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Problem 1

The value of almost everything you own, such as a car, computer, or appliance, depreciates over time. When the value decreases by a fixed amount each year, the depreciation is called straightline depreciation. Suppose your car has an initial value of \(\$ 16,750\) and depreciates \(\$ 1030\) per year. a. State a question that you might want answered in this situation. b. What two variables are involved in this problem? c. Which variable do you think should be designated as the input variable? d. Complete the following table. e. State in words the relationship between the value of the car and the number of years the car is owned. f. Use appropriate letters to represent the variables involved and translate the written statement in part e to an equation. g. If you plan to keep the car for 7 years, determine the value of the car at the end of this period. Explain the process you used.

Problem 2

The formula used to convert a temperature in degrees Celsius to a temperature in degrees Fahrenheit is \(F=\frac{9}{5} C+32\) a. Use the formula to determine the Fahrenheit temperature when the Celsius temperature is \(25^{\circ}\). b. Use the formula to determine the Celsius temperature when the Fahrenheit temperature is \(59^{\circ} .\)

Problem 5

Archaeologists and forensic scientists use the length of human bones to estimate the height of individuals. A person's height, \(h\), in centimeters can be determined from the length of his/her femur, \(f\) (the bone from the knee to the hip socket), in centimeters using the following formulas: $$\text { Male: } h=69.089+2.238 f$$ $$\text { Female: } h=61.412+2.317 f$$ a. A partial skeleton of a male is found. The femur measures 50 centimeters. How tall was the man? b. What is the length of the femur for a female who is 150 centimeters tall?

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