SOLUTION: Practice Test Question. Find an aproximate equation y=ab^x of the exponential curve that contains the given points. Round the values of a and or b to two decimal places if neces

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Question 448550: Practice Test Question.
Find an aproximate equation y=ab^x of the exponential curve that contains the given points. Round the values of a and or b to two decimal places if necessary.
(0,4)(3,79)
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Find an approximate equation y=ab^x of the exponential curve that contains the given points.
Round the values of a and or b to two decimal places if necessary.
(0,4)(3,79)
:
Replacing x and y with 0, 4
4 = ab^0
4 = a*1; (any term with a 0 exponent equals 1)
a = 4
:
replacing a, x, y with 4, 3, 79, find b
4*b^3 = 79
b^3 = 79%2F4
b = 3sqrt%2879%2F4%29, find the cube root
b = 2.703
:
the equation for this curve: y+=+4%2A2.7%5Ex to two decimal places
looks like this:
+graph%28+300%2C+200%2C+-2%2C+5%2C+-10%2C+100%2C+4%2A2.703%5Ex%29+