SOLUTION: For which value(s) of r does there exist a power function (y= Cx^r) passing through the points (1, 1/8) and (5, 9/2). I tried setting them both equal to C and then solving for r

Question 350281: For which value(s) of r does there exist a power function (y= Cx^r) passing through the points (1, 1/8) and (5, 9/2).
I tried setting them both equal to C and then solving for r, but the r's cancelled.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
The point (1, 1/8) means that x=1 and y=1/8. Plug these values in to get and simplify to get

So the equation is now .

The point (5, 9/2) means that x=5 and y=9/2. Plug these values in to get

Then multiply both sides by 8 to get and then solve for 'r' to get
RELATED QUESTIONS
Suppose that a cubic function f(x)=ax^3+bx^2+cx+d can be factored into two terms,one of... (answered by Theo)

I been working on these problems and I still having a problem with the answers. Please... (answered by jim_thompson5910,Alan3354)

1)if the line passing through the points (2,a) and (5,-3) is parallel to the line passing (answered by mananth)

Lessons Course Information Assessments Gradebook Email Discussion Groups ChatRoom... (answered by richard1234)

Give sin(a) =8/9, pi/2< a < pi, Find the exact value of sin(a/2) I tried solving it... (answered by jim_thompson5910)

Find the value of "r" so the line that passes through each pair of points has the given... (answered by stanbon,edjones)

how do u determine the value of r so the line passing through each pair of points has the (answered by MathPro,ankor@dixie-net.com)

Find a polynomial of degree ≤2 [of the form f (t) = a + bt + ct^2] whose graph goes (answered by stanbon)

If the line passing through the points (a, 1) and (−10, 9) is parallel to the... (answered by LinnW)