Unit 4 - Linear Functions

Consider the sequence 41, 29, 17, 5, ... Select all that apply.

• Arithmetic

• Geometric

•  $A_{1\ }=41$  

•  $A_n=A_{n-1}-12$  

•  $A_n=A_{n-1}+12$  

• 31

• 33

• 63

• 65

What is the rate of change? What does the rate of change represent?

• 2.5

• 3.5

• The cost of one cookie.

• The number of cookies Callie sells per day.

• The amount of money Callie has earned.

Lindsey is practicing her downhill skiing. Slope A descends 15 vertical feet for every 24 horizontal feet. Slope B descends 12 vertical feet for every 16 horizontal feet.

If Lindsey prefers to ski on a steeper hill, which should she choose, and why?

• Slope A because it has a greater rate of change.

• Slope B because it has a greater rate of change.

• Slope A because it has a smaller rate of change.

• Slope B because it has a smaller rate of change.

• $y=375x+375$

• $y=\frac{1}{375}x$

• $y=50x+325$

• $y=375x$

What is 111 on the graph, and what does it represent.

• Slope, it represents starting distance

• y-intercept, it represents starting distance

• x-intercept, it represents remaining distance

• slope, it represents speed

What is 11 on the graph, and what does it represent.

• Slope. It represents the starting distance.

• y-intercept. It represents the starting distance

• x-intercept. It represents the remaining distance

• Slope. It represents speed.

Your parents gave you $200 to spend on a week-long school trip. You budgeted $25 per day for snacks and souvenirs. Write an equation that represents this situation.

• $y=-25x+200$

• $y=25x-200$

• $y=-200x+25$

• $y=200x-25$

Eugene's Computer Repair charges a one-time fee to run a mandatory diagnostic tests on a laptop in order ti determine what is wrong, plus an hourly rate to repair it. The function  $c=20t+59$  can be used to determine the cost, c, to repair a laptop after t hours. Select all that are true for the situation.

• The slope of the function is 59.

• The slope of the function is 20.

• It costs $20 per hour to repair a laptop.

• A laptop that requires 3 hours of repair will cost $60.

• A laptop that requires 4 hours of repair will cost $139.

• Line m has a negative slope

• Line n has a positive slope

• Line n has a negative slope

• Line m’s y-intercept is greater than line n’s y-intercept

• Line m’s y-intercept is less than line n’s y-intercept