Question

Which equation represents exponential decay? * a y=3^x-4 b y=2(4)^x c y=1/2(3)^x d: y=6(1/3)^x

Answer 1

The equation which represents exponential decay is y=$6(1/3)^{x}$

Given four equations : 1)y=$3^{x} -4$, 2) y=$2(4)^{x}$, 3) y=$3^{x}/2$, 4) y=$6(1/3)^{x}$.

Equation is relationship between two or more variables expressed in equal to form. Equations of two variables look like ax+by=c. Exponential equation look like $a^{x}$.

Decay means when x value increases ,the y value decreases.

We haveto put 3 values for x in the equations to check.

1)y=$3^{x} -4$

put x=0,y=-3

put x=1, y=-1

put x=2, y=5

No,itdoes not represents exponential decay.

2) y=2$4^{x}$

put x=0,y=2

put x=1, y=8

put x=2, y=32

No,it does not represents exponential decay.

3) y=$3^{x}/2$

put x=0,y=0.5

put x=1, y=1.5

put x=2, y=4.5

No,it does not represents exponential decay.

4)y=6$(1/3)^{x}$

put x=0,y=6

put x=1, y=2

put x=2, y=0.67

Yes ,it represents exponential decay.

Hence the equation which represents exponential decay is y=6$(1/3)^{x}$.

Learn more about equations at brainly.com/question/2972832

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