A graphing calculator is helpful.

Choose the conclusion in the right column that goes with the function in the left column below. When you think you have the correct match for each one, click "Check Your Answer."

Functions	Conclusions
1. y = x + 5 Interactive popup. Assistance may be required. Check Your Answer C	A. The dependent variable is always 32 more than the independent variable.
2. i = 0.05s + 500 Interactive popup. Assistance may be required. Check Your Answer E	B. The dependent variable increases when the independent increases.
3. F = 9 5 C + 32 Interactive popup. Assistance may be required. Check Your Answer A	C. The dependent variable increases by five.
4. d = 1 4 t Interactive popup. Assistance may be required. Check Your Answer D	D. The independent variable multiplied by four equals one.
5. e = 0.18h + 15.75 Interactive popup. Assistance may be required. Check Your Answer B	E. The dependent variable is at least 500 more than the independent variable.

Predict the following by first substituting the values and then evaluating the answer.

1. In science class, Amy learned F = 9 5 C + 32 is used to convert temperature in degrees Celsius to degrees Fahrenheit. The current air temperature is 96° F; find the current air temperature in degrees Celsius.

• Substitute: F = 96° ⇒ 96 = 9 5 C + 32. Solve for C on your own paper or enter the equation into the "Y =" function on your calculator then go to the table to find the solution. Interactive popup. Assistance may be required.

  Check Your Answer

  35.6
• Evaluate: Select the best answer below.
  1. 31
  2. 35
  3. 139
  4. 203
  Interactive popup. Assistance may be required.

  Check Your Answer

  B

2. Jose practices for a marathon by running around the school's track. The function d = 1 4 l, where d is the distance in miles and l is the number of laps, is used to determine the number of miles he runs. Which of the following choices best describes this function?

Source: Joe Mabel, Wikimedia

• Substitute: Review the answer choices and select a possible value to substitute into the equation.
• Evaluate: Evaluate the answer choices. Select the best answer below.
  1. An athlete who walks the track gets only 1 4 as much exercise as an athlete who runs the track.
  2. One must complete 10 laps around the track to get the minimum daily amount of exercise.
  3. For every 4 laps on the track, an athlete travels 1 mile.
  4. For every mile traveled, an athlete must complete 1 4 of a lap.
  Interactive popup. Assistance may be required.

  Check Your Answer

  C because A and B are opinions. Substitute 1 in for d and solve.

3. A waiter at a local restaurant determined that when he worked a 5 hour evening shift he could predict his daily earnings using the function e = 0.18h + 15.75. If e represents his earnings and h represents the number of hours worked, which of the following is the best prediction of the amount of pay he will earn on a busy 5 hour Saturday evening shift?

• Substitute: h = 5 ⇒ e = 0.18(5) + 15.75. Solve for h on your own paper. Interactive popup. Assistance may be required.

  Check Your Answer

  $16.65
• Evaluate: Review the answer, is it reasonable? Select the best answer below.
  1. $15.75
  2. $15.93
  3. $16.65
  4. $141.75
  Interactive popup. Assistance may be required.

  Check Your Answer

  The only reasonable answer is D. The waiter should make more than $16.65 in 5 hours; the function he chose is incorrect. The function actually states he earns $0.18 per hour plus a base pay of $15.75 – A tricky question!)