Discussion: Capella University Linear Functions Problems
Question Description
QUESTION 1 (ESSAY WORTH 10 POINTS)
(02.03 MC)

The linear model represents the height, f(x), of a water balloon thrown off the roof of a building over time, x, measured in seconds:

A linear model with ordered pairs at 0, 26 and 2, 34 and 4, 34 and 8, 30 and 10, 0 and 12, 0. The x axis is labeled Time in seconds, and the y axis is labeled Height in feet.

Part A: During what interval(s) of the domain is the water balloon’s height increasing? (2 points)

Part B: During what interval(s) of the domain is the water balloon’s height staying the same? (2 points)

Part C: During what interval(s) of the domain is the water balloon’s height decreasing the fastest? Use complete sentences to support your answer. (3 points)

Part D: Use the constraints of the real-world situation to predict the height of the water balloon at 14 seconds. Use complete sentences to support your answer. (3 points)

QUESTION 2 (ESSAY WORTH 10 POINTS)
(02.03, 02.05 MC)

The linear function f(x) = 0.5x + 80 represents the average test score in your math class, where x is the number of the test taken. The linear function g(x) represents the average test score in your science class, where x is the number of the test taken.

x g(x)
1 81
2 83
3 85

Part A: Determine the test average for your math class after completing test 2. (2 points)

Part B: Determine the test average for your science class after the completing test 2. (2 points)

Part C: Which class had a higher average after completing test 4? Show work to support your answer. (6 points)

QUESTION 3 (ESSAY WORTH 10 POINTS)
(02.04 LC)

The table of values represents a linear function g(x), where x is the number of days that have passed and g(x) is the balance in the bank account:

x g(x)
0 $325
5 $400
10 $475
Please list step by step, this is high school Algebra 1. no plagerism.

Part A: Find and interpret the slope of the function. (3 points)

Part B: Write the equation of the line in point-slope, slope-intercept, and standard forms. (3 points)

Part C: Write the equation of the line using function notation. (2 points)

Part D: What is the balance in the bank account after 12 days? (2 points)