granthazenp5e9mj
granthazenp5e9mj granthazenp5e9mj
  • 12-11-2018
  • Mathematics
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If an exponential curve intersects the y- axis at 10 and has a growth rate of 1.6, what is the equation of exponential function?

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remotecontrolbrain
remotecontrolbrain remotecontrolbrain
  • 12-11-2018

Answer: [tex]y = 10\cdot 2.6^t[/tex]

Explanation:

The general formula for an exponential function is:

[tex]y=a\cdot (1+r)^t[/tex]

with "a" the initial value and "r" the growth rate.

We are given the value at time 0:

[tex]10=a\cdot 2.6^0 = a[/tex]

Therefore the initial value is 10 yielding the answer above.

(there is a slight chance that your teacher defines "growth rate" not as the "r" as in (1+r) but as the entire "(1+r)" in which case you should replace 2.6 by 1.6.

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