DI SP1.2-3

The relationship between the time since Captain Summers became a ship captain and his total number of hours at sea can be modeled by the equation y = 800 x + 2200, where x is the time since he became a ship captain in years and y is his total number of hours at sea. How many hours at sea did Captain Summers have when he first became a ship captain?

• 800

• 1400

• 2200

• 3000

A survey found that the relationship between the years of education a person has and that person's yearly income in his or her first job after completing schooling can be modeled by the equation y = 1200 x + 7000, where x is the number of years of education and y is the yearly income. According to the model, how much does 1 year of education add to a person's yearly income?

• 1200

• 5800

• 7000

• 8200

Which of the following are rational numbers?

• -780

• 3.141519......

• 8/9

• .996

Maria is creating a scatter plot for a science lab she is doing. She plotted the data from her lab on a grid and drew a line to represent the relationship between the variables as shown below. Which of these statements best describes whether or not Maria’s line is the line of best fit?

• Maria’s line is the best fit because it is close to all the data points.

• Maria’s line is the best fit because the line passes through the first and last data points.

• Maria’s line is not the best fit because it does not pass through the majority of the data points.

• Maria’s line is not the best fit because it does not represent the majority of points that are below it.

Which of these will result in irrational numbers?

• $\sqrt{2}$

• $\sqrt{121}$

• $\sqrt{44}$

• $\sqrt{36}$

During a snowstorm, snow falls at a constant rate and is recorded by a meteorologist. The data is plotted on the graph below. Which equation models the relationship between the number of hours, x, of the snowstorm, and the number of inches of snow, y, on the ground?

• y = 3 x + 3

• $y=\frac{1}{3}+3$
  
  

• y = 3 x + 18

• $y=\frac{1}{3}x+18$

What is the approximate value of  $\sqrt{12}$  ?

• 2
  

• 3.5

• 4.5

• 6