Question

Write the exponential function for the graph that passes through the points (0,128) and (5,371,293). Show all work

Answer 1

Answer:

y = 128(4.926)^x

Step-by-step explanation:

Exponential function: y = ab^x

x = 0, y = 128

128 = ab^0

128 = a

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a = 128, y = 371,293, x = 5

371,293 = 128 x b^5

b^5 = ( 371,293 / 128 )

b = (fifth root) 5^√2900.7265625

b ≈ 4.926

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y = 128(4.926)^x

I hope this helps!