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.

check the picture below.

well, the angle at the vertex d is clearly not a right-angle, let's check for the one at the vertex f which does look like,   however if it's indeed, that means ef is perpendicular to df, in which case their slopes will be negative reciprocal of each other.

so the negative reciprocal of the slope of ef is 1, however the slope of df is not 1, is 1/2, so nope, they're not perpendicular lines.

ok then what happened.