Pl 20 points ! match each exponential inequality to its percent rate of change. 85% decay 85% growth 50% decay 5% growth 15% decay 50% growth 15% growth 5% decay 5(0.85)t < 1.5 50(1.05)t < 100 150(0.50)t > 15 15(1.50)t > 500 50(1.15)t < 150

5(0.85)t < 1.5  is  15% decay

50(1.05)t < 100 is 5% growth

150(1.50)t > 500 is 50% growth

50(1.15)t < 150 is 15% growth

1) has 15% decay rate.

2) has 5% growth rate.

3) has 50% decay rate.

4) has 50% growth rate.

5) has 15% growth rate.

Step-by-step explanation:

Given : Exponential inequality

To find : Match each exponential inequality to its percent rate of change.

Solution :

The exponential function is defined as ,

where, a is the original amount, r is the amount of growth or decay, and x is the number of time periods.

If r is +ve then it is growth rate

If r is -ve then it is decay rate

1)

Where, a=5

1+r=0.85

r=-0.15

r=-15%

Therefore, has 15% decay rate.

2)

Where, a=50

1+r=1.05

r=0.05

r=5%

Therefore, has 5% growth rate.

3)

Where, a=150

1+r=0.50

r=-0.5

r=-50%

Therefore, has 50% decay rate.

4)

Where, a=15

1+r=1.50

r=0.5

r=50%

Therefore, has 50% growth rate.

5)

Where, a=50

1+r=1.15

r=0.15

r=15%

Therefore, has 15% growth rate.

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step-by-step explanation:

step-by-step explanation: