Math 22

Question 1:

A recipe for 120 servings requires 3.5 liters of water. Approximately how many liters of water are needed for 400 servings?

Question 2:

If f(x) = 2x+1 and g(x) = 3x+4, what is f(g(4))?

Question 3:

In the standard (x,y) coordinate plane, what is the slope of the line that passes through the points (-4,3) and (6,-5)?

Question 4:

If 2 is a solution to the equation x² – hx + 10 = 0, what is the value of h?

Question 5:

The two legs of a right triangle measure 43 inches and 49 inches. What is the cosine of the triangle’s smallest interior angle?

Question 6:

The horizontal line in the graph shows the distance between a fixed point and an object as a function of time. The object could be doing which of the following:
I. Moving at a constant speed away from a fixed point
II. Not moving
III. Moving in a circle around a fixed point

Question 7:

[Non-Calculator] In one year, Jared and Alexandre spent a combined 480 hours in the computer lab writing code. If Alexandre spent 40 hours less than 3 times the amount of time Jared spent, how many hours did Alexandre spend?

Question 8:

[Calculator Allowed] Which of the following best approximates the average rate of change in the annual costs of maintenance for the Parks and Recreation Department in Kentucky from 2009 to 2011?