EOC Review: Applications of Linear Functions

Based on the correlation coefficient for the data, what type of linear association exists between hours worked and overall grade average?

• A) Strong negative

• B) Weak negative

• C) Weak positive

• D) Strong positive

Which correlation best describes the strength of the linear association between the number of species added to the United States endangered species list and the year?

• A) Weak negative correlation, because r = -0.91

• B) Weak negative correlation, because r = -0.09

• C) Strong negative correlation, because r = -0.91

• D) Strong negative correlation, because r = -0.09

What does the correlation coefficient for the data indicate about the strength of the linear association between the height and the length of these rectangles?

• Weak negative correlation

• Strong negative correlation

• Weak positive correlation

• Strong positive correlation

Which function best models the data in the table?

• f(x) = 296 - 41x

• f(x) = 337 - 41x

• f(x) = 317 - 38x

• f(x) = 296 - 38x

A construction manager is monitoring the progress of the build of a new house. The scatterplot and table show the number of months since the start of the build and the percentage of the house still left to build. A linear function can be used to model this relationship. Which function best models the data?

• y = -13.5x + 97.8

• y = -13.5x + 7.3

• y = 97.8x - 13.5

• y = 7.3x - 97.8

Based on the table, what is the best prediction of the number of clicks on the advertisement if 1,500 people visit the website?

• 77

• 137

• 83

• 105

What is the best prediction of the percentage of the baby rhinoceros’s body mass that should be used to determine the amount of food given at each feeding when it is 25 weeks old?

• 8.5%

• 6%

• 2.5%

• 10%

The scatterplot shows the monthly high temperatures for Austin, Texas, in degrees Fahrenheit over a 12-month period. Which function best models the data from Month 1 to Month 9?

• y = -1.6x + 111

• y = 3.5x + 85

• y = 2.5x + 90

• y = -3.3x + 130

The total cost, y, for x tickets to a concert includes a flat fee for procession and a cost per ticket. One customer purchased 4 tickets for a total cost of $160. Another customer purchased 8 tickets for a total cost of $300.

Which linear equation represents the total cost in dollars, y, for x tickets?

• y=40x

• y=37.5x

• y=35x+20

• y=20x+35

Printer ink costs $18.99 per cartridge. The company that sells the ink cartridges charges a flat rate fee of $7.95, no matter the number of cartridges purchased in a single order.

Which linear function models the total cost, t, for a single order of c cartridges?

• c=26.94t

• c=18.99t+7.95

• t=26.94c

• t=18.99c+7.95