Iwill give brainliest to anyone who gives me a correct answerwhich of the following curves exhibits modified exponential decay, has a y of 110 when t is 0, and approaches the value y=30 as t goes to infinity? a.) y = 110e^{7t} - 80b.) y = 110 - 80e^{-5t} c.) y = 30 + 80e^{-2t} d.) y = 110 - 80e^{2t} e.) y = 30 - 80e^{-4t}

C

Step-by-step explanation:

Let's check the first condition [y=110, t=0] for all the choices and eliminate:

A)

NO

B)

NO

C)

YES

D)

NO

E)

NO

Note: e^0 = 1

Only C is satisfied. But let's make sure the 2nd condition applies as well.

Hence, y approaches 30 as t goes to infinity. 2nd condition is satisfied as well.

Answer is C

- 70

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