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hammer [34]
3 years ago
5

Write an exponential function in the form y=ab^x that goes through points (0,7) and (5,1701).

Mathematics
1 answer:
Marizza181 [45]3 years ago
3 0

Answer:

y = 7 3^{x}

Step-by-step explanation:

Use the given ordered pairs to find a and b

Using (0, 7 ), then

7 = a b^{0} ( b^{0} = 1 ), thus

a = 7

y = 7 b^{x}

Using (5, 1701 )

1701 = 7 b^{5} ( divide both sides by 7 )

243 = b^{5} ( take the fifth root of both sides )

b = \sqrt[5]{243} = 3 , thus

y = 7 3^{x}

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