Monday

December 22, 2014

December 22, 2014

Posted by **greeny** on Tuesday, February 7, 2012 at 10:29pm.

i got a=3.04 and b= 1.185 so my equation is y=3.04(1.185)^4

is this correct?

one more problem. find a power function of the form y=ax^b whose graph passes through the points (2,3) and (10,21)?

this one im quite confused on how to do, can someone show the steps for it and lead me through until the answer? thanks!

- math -
**Reiny**, Tuesday, February 7, 2012 at 10:52pmI agree with your a and b values, but your equation should have an exponent of x , not 4

(probably just a typo)

2nd:

for (2,3) --> 3 = a(2^b)

for (10,21) ---> 21 = a(10^b)

divide them

21/3 = 10^b/2^b

7 = (10/2)^b

7 = 5^b

take log of both sides

log 7 = log (5^b)

log 7 = b log 5

b = log 7/log 5 = appr. 1.209

sub back into 1st equation

a(2^1.206) = 3

a(2.3119) = 3

a = 1.298

so y = 1.298(x^1.209)

check my arithmetic on the last one

**Answer this Question**

**Related Questions**

Advanced Algebra - Find the exponential function of the form y=ax^b whose graph ...

Algebra II - Use the equation of the exponential function whose graph passes ...

Algebra II - Use the equation of the exponential function whose graph passes ...

alg 2 - Write an exponential function whose graph passes through the given ...

math - i have more than one question so if u no any of the answers please tell ...

math - Find the exponential function f(x)=Ca^x whose graph goes through the ...

math - Write a function of the form Y=ax^2+c whose graph passes through the two ...

Math - 1. Write a quadratic function in intercept form whose graph has the given...

Algebra - Find the equation of the line, in slope-intercept form, that satisfies...

math calculus - Find the equation of the function f whose graph passes through ...