32 will go into 284 8 times completely but the decimal is 8.875
A function is increasing if it "points upwards".
Think that you have two inputs 
(think of them as being very close to each other). A function 
is increasing if
So, smaller input, smaller output.
So:
- In the first segment on the left, the function is decreasing: if you move with little steps rightwards, the output will get smaller and smaller (the function points to the right bottom)
- In the second segment, the line is constant (it's horizontal). This means that even if you consider a larger input, the output reimains the same
- In the third segment, the function is increasing: if you consider a larger input, the output will be larger as well: the function points to the top right.
- In the fourth segment, the function is decreasing again (look at the first bullet point)
So, the function is increasing in the third segment, which is delimited by
For the entirety of this problem, p will represent a pair of pants and b will represent a bracelet.
Step 1) Set up equations for Destiny and Guadalupe
Destiny: 178 = 2p + 6b
Guadalupe: 155 = 3p + 2b
I will be using substitution to solve this problem, but elimination can also be used.
Step 2) Solve Destiny's equation for p
178 = 2p + 6b
178 - 6b = 2p
89 - 3b = p
Step 3) Substitute the found value of p from Destiny's equation into Guadalupe's equation and solve for b
155 = 3(89 - 3b) + 2b
155 = 267 - 9b + 2b
155 = 267 - 7b
-7b = -112
b = 16
Step 4) Use the value of b found in step 3, plug that back into our equation from step 2 and solve for p
89 - 3(16) = p
89 - 48 = p
p = 41
one pair of pants = $16
one bracelet = $41
Hope this helps!! :)
So there are 12 inches in a foot. What to do:
1) divide 200 by 12 which is roughly 16.6666 repeating
2) now we know that the average car length is at least 16 feet, but less than 17
3) What I do now, is I take 12 and multiply it by 16
12 x 16 = 192
4) 200-192 = 8
5) 16 feet and 8 inches is the answer
