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Oksi-84 [34.3K]
2 years ago
5

PLSSSS HELP 20 POINTS ! Match each exponential inequality to its percent rate of change.

Mathematics
2 answers:
const2013 [10]2 years ago
7 0

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



vfiekz [6]2 years ago
5 0

Answer:

1) 5(0.85)^t < 1.5 has 15% decay rate.

2) 50(1.05)^t < 100 has 5% growth rate.

3) 150(0.50)^t > 15 has 50% decay rate.

4) 15(1.50)^t > 500 has 50% growth rate.

5) 50(1.15)^t > 150 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 y=a(1+r)^x,

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) 5(0.85)^t < 1.5

Where, a=5

1+r=0.85

r=-0.15

r=-15%

Therefore, 5(0.85)^t < 1.5 has 15% decay rate.

2) 50(1.05)^t < 100

Where, a=50

1+r=1.05

r=0.05

r=5%

Therefore, 50(1.05)^t < 100 has 5% growth rate.

3) 150(0.50)^t > 15

Where, a=150

1+r=0.50

r=-0.5

r=-50%

Therefore, 150(0.50)^t > 15 has 50% decay rate.

4) 15(1.50)^t > 500

Where, a=15

1+r=1.50

r=0.5

r=50%

Therefore, 15(1.50)^t > 500 has 50% growth rate.

5) 50(1.15)^t > 150

Where, a=50

1+r=1.15

r=0.15

r=15%

Therefore, 50(1.15)^t > 150 has 15% growth rate.

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