Math questions

1. How are these concepts of direct, inverse, and joint variation used in everyday life? Provide examples for each.

2. Other than those listed in the text, how might the Pythagorean theorem be used in everyday life? Provide examples of each.

3. Post your response to the following: What is the difference between domain and range? Describe a real-life situation that could be modeled by a function.

Provide feedback about your classmates' answers. Describe the values for x that may not be appropriate values even when they are defined by your classmates' function. A function could, for example, indicate the amount of bone strength (y) in a living human body over time in years (x). It would not make sense to look at negative years, because the person would not yet be born. Likewise, looking beyond 100 years might not make sense, as many people do not live to be 100.

4. Here's a practice problem for everyone to solve:

A function f computes the average individual income in dollars in relation to educational attainment. This function is defined by

f (N) = 21,484

f (H) = 31,286

f (B) = 57,181

and f (M) = 70,181

where N denotes no diploma, H a high school diploma, B a bachelor’s

degree, and M a master’s degree.

Three parts:

(a) Write f as a set of ordered pairs.

(b) Give the domain and range of f.

(c) Discuss the relationship between education and income.

5. Scott wants to swim across a river that is 400 meters wide. He begins swimming perpendicular to the shore he started from but ends up 100 meters down river from where he started because of the current. How far did he actually swim from his starting point?

6. In the Old West, settlers often fashioned tents out of a piece of cloth thrown over tent poles and then secured to the ground with stakes forming an isosceles triangle. How long would the cloth have to be so that the opening of the tent was 4 meters high and 3 meters wide?