[Week 1] EOC Review - Tournament Quiz #3

What is the zero of the following linear function?

f(x) = -12x + 48

• -12

• 4

• 48

• 60

The heights and weights of 8 randomly selected adult males are shown in the table below.

Based on linear regression, which of the following provides the best estimates of the weight, w(x), in pounds, of another randomly selected adult male with a height of x inches?

• w(x) = 6.1x - 261.2

• w(x) = 7.6x - 376.6

• w(x) = -261.2x + 6.1

• w(x) = -376.6x + 7.6

Nine vehicles were randomly selected, and their weights, in pounds, and fuel efficiencies, in miles per gallon (mpg), were recorded in the table provided.

Based on linear regression, to the nearest mpg, what is the predicted fuel efficiency of a vehicle that weighs 4,000 pounds?

• 14 mpg

• 15 mpg

• 16 mpg

• 17 mpg

Jenny collected data about homes for sale in her neighborhood. The square footage and list price of each home are shown in the table.

Jenny used her calculator to fit a quadratic function to this data. If a 4,000 square-foot home were to go on sale in Jenny's neighborhood, about how much would it cost, according to Jenny's function?

• $540,000

• $730,000

• $870,000

• $910,000

Which of the following represents the quadratic function f(x) = -5(x - 2)² - 7 in standard form?

• f(x) = 5x² - 4x - 3

• f(x) = 5x² - 20x + 13

• f(x) = 5x² - 4x - 11

• f(x) = 5x² - 20x - 27

What happens to the graph of the quadratic function y = x² + c as the value of c increases?

• The y-intercept increases

• The x-intercept increases

• The y-intercept decreases

• The x-intercept decreases

The graph of a quadratic equation intersects the x-axis at (-4.5, 0) and (-1, 0). The graph of which of the following equations has the same x-intercepts?

• y = (2x - 9)(1 - x)

• y = 2x² - 11x + 9

• y = (2x + 9)(7x + 7)

• y = -2x² + 11x + 9

A table of values for the exponential function f is shown.

Which situation could describe this function?

• The value of a house increases by approximately 2 3/4% per year

• The value of a house increases by $3,850 per year

• The value of a house decreases by approximately 2 3/4% per year

• The value of a house decreases by $3,850 per year

The population of jellyfish found in part of the Gulf of Mexico has been increasing since the year 2000. The table shows the number of jellyfish, y, observed in the area x years after 2000.

Which of the following exponential functions best models this data?

• y = 850(0.9999)^x

• y = 1,009(1.0894)^x

• y = 850(1.0894)^x

• y = 1,009(0.9999)^x

Hannah owns a chain of coffee shops that has expanded over the past 5 years. The table shows the total number of coffee shops she owned, y, over the past x years.

Hannah uses software to fit an exponential regression model to this data. If she uses her model to predict the number of coffee shops she will have in 8 years, which value will she most likely obtain?

• 93

• 127

• 146

• 251