Let's find the difference between each number.
38-14=24
74-38=36
122-74=48
182-122=60
254-182=72
As you can tell, you're adding 12 to each difference before. The next difference would be 72+12=84. Let's add.
254+84=338
Now the next difference would be 84+12=96.
338+96=434
So, the next two terms are 338 and 434.
To find slope, we must find the change in y values divided by the change in x values, also called the rise/run. This is modeled below:
Slope = m = (y1 - y2)/(x1-x2) = (6-(-3))/(1 - (-6)) = (6+3)/(1+6) = 9/7
We can check that this answer is correct by consulting the graph. The graph shows a positive correlation (means that the slope should be positive), and if you count the graph unit squares, you get that the graph moves up 9 squares and over 7 squares between the two points shown, letting us know we got the right answer.
Hope this helps!
Answer:
See attached picture to view the graph
Step-by-step explanation:
Start by analyzing how this average idea works:
If only one member goes to the trip, it will cost him/her $1000+$200 = $1200.
If two members go to the trip, then they will share the cost as per the following: ($1000+ $200 + $200 = $1400) which they will be dividing into two people, thus costing each of them $700.
Notice that the general function that represents such average will be given by: 
Plot such function in the two dimensional plane, and you will get the asymptotic behavior shown in the attached image.
The square root of 81 is 9
Your answer is <em>9
</em>Work:
9 x 9 = 81
Answer: the cost of nursing home care 3 years ago was $37,000
Step-by-step explanation:
$46,000 x 20%=
$46,000 x 20/100= $9,200
$46,000 - $9,200 = $36,800