Answer :
Answer:
c)3/2(8/7)^x
Step-by-step explanation:
Evaluate the functions.
1. Because 7/4 > 1 and the exponent is positive,
the function does not decay.
2.Because 4/5 < 1 and the exponent is negative,
the function does not decay.
3. Because 8/7 > 1 and the exponent is negative,
the function decays.
4. Because 9/2 > 1 and the exponent is positive,
the function does not decay.
A composite plot the functions verifies the answer.
If all the x's are exponents, then 3/2 (8/7)^-x is the only one that decays as x gets bigger. That's because the base is greater than 1 and the x is negative.
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The only expression that is a decay function is f(x) = 2/3(4/5)^-x since 4/5 is less than 1
Exponential equations
The standard form of an exponential equation is expressed as:
y = a(b)^x
where
a is the base
x is the exponent
b is the rate (determine whether the rate is growth or decay)
If the value of b is less than 1 then it is a decay function. The only expression that is a decay function is f(x) = 2/3(4/5)^-x since 4/5 is less than 1
Learn more on exponential function here: https://brainly.com/question/2456547
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