Applying Linear Relationships - Unit Test A

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1. The value of y varies directly with x. If x = 6, then y = 21. Find the value of x when y = 70.

2. Loretta graphs the line y = -9. Which of the following is NOT true?

• A. The line is perpendicular to the y-axis.
• B. The line has an undefined slope.
• C. The line is parallel to the x-axis.
• D. The line is horizontal.

3. Write the equation of the line that is parallel to y = -x – 5 and has a y-intercept at (0, 11).

4. Surveys from several movie theaters show that as the number of tickets sold online increases, the number of tickets purchased in-person decreases. Describe the association and if there seems to be causation.

• A. Positive association; causation
• B. Positive association; no causation
• C. Negative association; causation
• D. Negative association; no causation

5. The graphs of linear functions f and c are shown below. Which function is represented by the graph of c?

• A. c(x) = -f(x) − 6
• B. c(x) = -6f(x)
• C. c(x) = f(x) − 6
• D. c(x) = -f(x) + 6

6. The parent function f(x) = x is transformed by moving the function 5 units left to create h(x). Which of the following is NOT true?

• A. Functions f(x) and h(x) are parallel lines.
• B. Function h(x) can be represented by h(x) = f(x + 5).
• C. Functions f(x) and h(x) do not have the same y-intercepts.
• D. Function f(x) is steeper than h(x).

7. The amount of caffeine in a cup of coffee from Joe’s Diner is directly proportional to the number of ounces in the cup as shown. Which statement is NOT true?

• A. The constant of proportionality is 16.
• B. An 8-ounce cup of coffee would contain 128 mg of caffeine.
• C. A cup containing 208 mg of caffeine would contain 12 ounces of coffee.
• D. The situation can be represented by y = 16x.

8. Which function would best model the data?

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