SOLUTION: rite an exponential function of the form y = ab^x whose graph passes thru the given points. (1,7), (2,49)

Question 399595: rite an exponential function of the form y = ab^x whose graph passes thru the given points. (1,7), (2,49)
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!

If the graph passes through the two given points then the coordinates of those points should fit the equation. So

and

We now have two equations with two unknowns, a and b. We should be able to solve this system and find out what a and b are.

We can use the Substitution method. Solving the first equation for a we get:

Substituting this into the second equation we get:

which simplifies as follows:

49 = 7b
Dividing by 7 we get:
7 = b
Using and the value we just found for b, we can find a:

1 = a
So a = 1 and b = 7. This makes the desired equation:

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