Write an exponential function in the form y ab x
Asked by admin @ in Math viewed by 349 People
Write an exponential function in the form y=ab^x that goes through points (0, 5) and
(3, 5000).
Answered by admin @
Answer:
y = 5(1000)^x
Step-by-step explanation:
At x = 0, b^0 equals 1. (Any number raised to the zero power equals 1.) Since y equals 5 when b^0 equals 1, a must equal 5.
5 = ab^0 = a * 1
That gets you to:
y = 5b^x
At x = 3, b^1 equals b. (Any number raised to the first power is the number itself.)
5000 = 5 * b^1 = 5 * b
Divide both sides by 5
1000 = b
That makes the equation:
y = 5(1000)^x
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