Find rates of change until you find a constant.
dy/dx=1,2,3,4,5,6
d2y/dx2=1,1,1,1,1
So the acceleration, d2y/d2x, is constant. This means that this is a quadratic sequence of the form a(n)=an^2+bn+c. So we can set up a system of equations to solve for the values of a,b, and c. Using the first three points, (1,1), (2,2), and (3,4) we have:
9a+3b+c=4, 4a+2b+c=2, and a+b+c=1 getting the differences...
5a+b=2 and 3a+b=1 and getting this difference...
2a=1, so a=1/2 making 5a+b=2 become:
2.5+b=2, so b=-1/2, making a+b+c=1 become:
1/2-1/2+c=1, so c=1 so the rule is:
a(n)=0.5x^2-0.5x+1 or if you prefer to not have decimals
a(n)=(x^2-x+2)/2
Answer:
I think is C.
Step-by-step explanation:
Hope it's help you ❤️❤️❤️❤️❤️❤️❤️
Answer:
y=8.50x
Where y is the total cost and x is the number of cars washed
Step-by-step explanation:
Divide 93.50 by 11 and you get 8.50. When you divide 195.50 by 23, you still get 8.50. Therefore, the cost of the car wash is 8.50 per car.
Answer:
The answer is A. 145
Step-by-step explanation:
Hope this helped : )
