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melamori03 [73]
2 years ago
7

Write an exponential function in the form y=ab^x that goes through the points (0,14) and (6,896)

Mathematics
1 answer:
azamat2 years ago
6 0

Answer:

y = 14 (2)^{x}

Step-by-step explanation:

Find a and b by substituting the points into the equation

using (0, 14 ) , then

14 = ab^{0} [ b^{0} = 1 ] , then

14 = a × 1 ⇒ a = 14

y = 14 b^{x}

using (6, 896 )

896 = 14 b^{6} ( divide both sides by 14 )

64 = b^{6} ( take the sixth root of both sides )

b = \sqrt[6]{64} = 2

Then

y = 14 (2)^{x} ← is the exponential function

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