Question

Write an exponential function in the form y=ab^x that goes through points (0, 18) and (2, 288)

Answer 1

y = abx

Point (1, 4): 4 = ab

Point (3, 16): 16 = ab^3

From 4=ab we have a = 4/b

Substitute into 2nd equation

16 = (4/b)b^3

16 = 4b^2

4 = b^2

2 = b

a = 4/b = 4/2 = 2

An exponential function that fits is: y = 2(2^x)

check: x=1; y = 2(21) = 4 ... point (1, 4)

x=3: y = 2(23) = 2(8) = 16 ... point (3, 16)

Answer 2

Answer:

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