Homework 1 MATH 208 - Q1 - Q3 PDF

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Assignment 1 1. The manager of a restaurant found that the cost to produce 200 cups of coffee is $29.00, while the cost to produce 400 cups is $49.00. Assume the relationship between the cost y to produce x cups of coffee is linear. a. Write a linear equation that expresses the cost, y in terms of the number of cups of coffee, x.

b. The total number of cups produced for a cost of $60.00 is 510 cups.

2. A farmer buys a new tractor for $147,000 and assumes that it will have a trade-in value of $85.000 after 10 years. The farmer uses a constant rate of depreciation to determine the annual value of the tractor. a) Find a linear model for the depreciated value V of the tractor t years after it was purchased.

b) What is the depreciated value of the tractor after 6 years?

c) When will the depreciated value fall below $80,000?

d) Graph the V for 0 ≤ t ≤ 20. Choose the correct graph below.

3. The temperature at which water starts to boil is called its boiling point and is linearly related to the altitude. Water boils at 212 °F at sea level and at 193.6°F at an altitude of 10,000 feet.

a) Find a relationship of the form T = mx + b where T is degrees Fahrenheit and x is altitude in thousands of feet. T = 1.84x + 212

b) Find the boiling point at an altitude of 3,300 feet.

c) Find the altitude if the boiling point is 196.5°F.

d) Graph T...