Exponential Worksheet printable pdf download

Exponential Worksheet

Names_________________________

page 1 of 2

21.4 b

A. The percent risk, R, of an auto accident can be found by: R = e

where b is the blood alcohol percent level

of the driver. Note: Both variables b and R are percent numbers and should not be converted to a decimal.

An R of 30 when b is 0.1589 means that a person would have a 30% chance of having a driving accident if their

alcohol blood level was measured at 0.1589%.

1) What is the percent risk (R) if the blood alcohol percent is 0.1%?

1) _____________________%

(Note: Use 0.1 not 0.001 in the calculation and round to the nearest tenth)

2) Double the blood alcohol percent from what is was in problem #1.

2) _____________________%

What is the percent risk now ? (round to the nearest tenth)

3a) Did the percent risk answer to #2. above surprise you (yes or no)?

3a) _____________________

b) Explain why using complete sentence(s):

_____________________________________________________

________________________________________________________________________________________

4) At what blood alcohol percent level (b) of the driver would there be an accident

for certain (R = 100) to happen? (Go out three decimal places)

(Note: Do not guess the answer but solve for b.)

4) _____________________%

Use the graphing mode [Y=]:

a) Press [Y=] and [CLEAR] out all equations, then make sure the cursor is after Y

b) After Y 1 = enter: e^ (21.4 *X)

c) Press [WINDOW] on TI82’s or TI83’s and use the following settings:

TI82 or TI83: X[0 , 0.29375] , Xscl: 0.05 , Y[

15 , 105] , Yscl: 25

d) Press [GRAPH]

5) Press [TRACE] and move the cursor using the arrows until X = 0.1

5a) _____________________

a) What is the Y value? (round to the nearest tenth)

b) How does this answer in 5a) compare to #1. above?

b) _____________________

6) Using the [TRACE] key answer the following: For a 0.175% blood alcohol percent level,

what is the percent chance of having an accident? (round to the nearest tenth)

6) _____________________%

7) What is the legal limit for the blood alcohol level percent in Illinois for a DUI conviction

a) for someone 21 or older?

7a) _____________________

b) for someone under 21?

b) _____________________

Every year, drunk drivers kill 25,000 innocent people. In fact, more than half of all automobile accidents involve an

intoxicated driver. But laws against drunk driving are get tougher and tougher. Not just stiffer penalties, but more active

enforcement as well. That means if you drink and drive, sooner or later you’ll see those flashing lights in your rearview

mirror. So do yourself, your family and your friends a favor.

Remember that:

•

Alcohol impairs your ability to drive sooner than you think. Use the blood alcohol chart on the next page as a

general reference.

•

When you’re caught, you’ll either face a stiff fine, lose your license, or spend time in jail.

•

You can save lives by re-thinking your drinking habits.

Sure, it’s a little inconvenient to count your drinks or leave your car somewhere overnight. But compare that to the

inconvenience and embarrassment of being pulled off the road by a law enforcement officer.

You have a choice about drinking and driving. You can see the light now. Or you can see the lights later.

(Source: Office of the Illinois Secretary of State)

* R. Greenlee Wheaton Warrenville South High School, Wheaton IL. 06/23/01 *

Exponential Worksheet

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