SOLUTION: An exponential model y = a ⋅ b x passes through the points (0, 2) and (3, 250). What are the values of a and b ?

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Question 1158808: An exponential model y = a ⋅ b x passes through the points (0, 2) and (3, 250). What are the values of a and b ?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

y+=+a%2Ab%5Ex......use the point (0, 2)
2+=+a%2Ab%5E0
2+=+a%2A1
a=2

y+=+2%2Ab%5Ex.....use the point (3, 250)
250+=+2%2Ab%5E3
b%5E3=250%2F2
b%5E3=125........125=5%5E3
b%5E3=5%5E3
b=5

so, a=2 and b=5, your equation is:
y+=+2%2A5%5Ex