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777dan777 [17]
3 years ago
12

Question 2 An exponential model y = a.6 passes through the points (0,9) and (3,243). What are the values of a and b?​

Mathematics
1 answer:
weqwewe [10]3 years ago
8 0

Answer:

a = 9, b = 3

Step-by-step explanation:

The exponential function is

y = a b^{x}

Find a and b by using the points it passes through

Using (0, 9 ) then

9 = a b^{0} ( b^{0} = 1 )

a = 9

y = 9 b^{x}

Using (3, 243 ) then

243 = 9b³ ( divide both sides by 9 )

27 = b³ ( take the cube root of both sides )

b = \sqrt[3]{27} = 3

y = 9(3)^{x} ← exponential equation

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Question:

Solution:

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Step-by-step explanation:

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