SOLUTION: According to this relation the value of Y when X = 5 is? Then teacher gives a table X= 0, 1, 2, 3, 4 than Y=0, 3, 12, 27, 48. We have to add 5 for X and what for Y? please help. W

Question 1064624: According to this relation the value of Y when X = 5 is? Then teacher gives a table X= 0, 1, 2, 3, 4 than Y=0, 3, 12, 27, 48. We have to add 5 for X and what for Y? please help. We have to show work and answer a multiply choice question which is A=67, B=70, C=73, D=75
Thank you
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
We have the sequence
:
0, 3, 12, 27, 48
;
we use the differences approach - we look for a level where the differences are the same
:
first level differences are 3, 9, 15, 21
second level differences are 6, 6, 6
:
we know the function is of the form y = k * x^2, where k is a constant
:
by inspection, the function is
:
y = 3 * x^2
:
therefore, for x = 5
:
y = 3 * 5^2 = 75
:

RELATED QUESTIONS
Complete the table of value then graph the function D(x)=x^2+4x Table x | h(x) -5 (answered by Fombitz)

Okay. This is a relation (set of ordered pairs) that I have to write an equation for... (answered by stanbon)

Hi, Can someone please review the following, I did the work I just want to make sure... (answered by Earlsdon)

Does the table of values represent a linear or exponential model? Write a function to... (answered by MathLover1)

Determine whether the relation on the set of all real numbers is reflexive, symmetric... (answered by solver91311)

3. At a level of significance of 0.10, Can we conclude that the following 400... (answered by shishir111)

Complete the table of values then graph the function h(x)=x^3-5x^2+4x Table x |... (answered by Alan3354)

Is the following relation a function? x y -2 3 0 1 5 5 7 (answered by Theo)