256-192= 64
192-144=48
144-108=36
108-81=27
81- 60.8=20.2
60.8-45.6=15.2
45.6-34.2= 11.4
34.2-25.6=8.6
25.6-19.2= 6.4
19.2-14.4= 4.8
Assume that each material in each category has an equal chance of being selected.
Categories:
(a) Type of wood used to make the cabinet: birch, maple, cherry.
Each type of wood has a probability of 1/3 to be selected.
(b) Type of finish: transparent, semi-transparent.
Each type of finish has a probability of 1/2 to be selected.
(c) Knob: bronze, steel, wood.
Each material has 1/3 probability to be selected.
Each event (selecting material for the cabinet, for the finish, and for the knob) is an independent event.
Therefore
Probablity(birch wood AND bronze knob) = (1/3)*(1/3) = 1/9
Probability(wood knob) = 1/3
Probability(transparent stain) = 1/2
Probability(cheryy wood AND semi-transparent stain) = (1/3)*(1/2) = 1/6
- Average Rate of Change/Slope Formula:

So using points (6,71) and (2,y), and the slope of 15, plug them into the slope formula as such:

From here we can solve for y. Firstly, solve the subtraction:

Next, multiply both sides by 4:

Next, subtact both sides by 71:

Lastly, multiply both sides by -1, and <u>your final answer will be
, or A.</u>
[2*(10 + 5)] - 5
[2*(15)] - 5
[2(15)] - 5
[30] - 5
25