MBF 3C

K/U 28 APP 15 THINK L COMM L

Name: _______________________

Parents Signature: _______________________

Communication reasoning, in writing and use of mathematical language, symbols and conventions will be assessed throughout this test.

Practice Test: EXPONENTIAL RELATIONS

Knowledge and Understanding

1. Simplify each of the following using exponent laws. [4 marks]

a) 65 aa

b) 312 ee c) 352 yx

2. Rewrite each as a single power AND then evaluate. (Express your answers as whole numbers or

fraction) [18 marks]

a)

e) (73)0

f)

g)

h)

i)

j)

k)

l)

3. True or False? [6 marks]

____ a) Linear growth shows increases by a constant amount each time period.

____ b) Exponential growth shows increases by a constant factor each time period.

____ c) Exponential decay shows successive ratio of y-values that is a fraction between 0

and 1.

____ d) Quadratic growth is confirmed by unequal first differences and equal second

differences.

e) In the exponential expression

the letter _____ is the growth or decay

factor and the letter _____ represents the frequency the growth or decay occurs.

ONCE THIS SECTION IS COMPLETE, HAND IT IN AND PROCEED WITH THE REMAINDER OF THE TEST

MBF 3C: Foundations for College Mathematics Practice Test: Exponential Relations NAME: __________________________

Application

4. The C.D.C. (Centre for Disease Control) in Atlanta, Georgia, is investigating the sudden influx of a mysterious virus which presents itself as a sudden appearance of red spots on the patient’s left arm. Studies show, that the number patients with the symptoms, can be represented by the exponential

relation , where P is the number of patients and n is the number of months since the onset.

a) What is the original number of patients afflicted by the spots? [1 mark] b) What is the expected number of patients after 3 years? [3 marks]

c) Researchers have developed anti-viral medication to fight off the virus. The remaining mass of

the anti-virus medication is modelled by

, where M is the remaining mass in

milligrams, and t is the time, in hours, that the medication has been in the bloodstream. i. What is the half-life of the anti-virus? [1 mark]

ii. What was the initial dosage of the anti-virus medication? [1 mark] iii. What will be the mass of anti-virus medication the bloodstream after: [5 marks] i. 3 hours? ii) 5 hours?

iv. After 8 hours the patient needs to take another dose of the anti-virus medication. What is the total mass of the medication in the bloodstream once the medication is taken?

[4 marks]

MBF 3C: Foundations for College Mathematics Practice Test: Exponential Relations NAME: __________________________

Thinking [LEVEL]

The relations of different functions are given: for values of , generate a table of values.

X Y

X Y

X Y

State the type of relation and provide sufficient JUSTIFICATION