### Assignment Instructions/ Description

Image transcription text10:05 AM Wed Jul 19

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Dan Dan Home x tcdso.elearn...

W All I Need Is...

G When are st...

G maxell xr me... areer Oppo... B...

Name:

Unit 1 Assignment: Trigonometry

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FULL SOLUTIONS: Show calculations and work for full marks. Where appropriate, write full sentence responses.

KNOWLEDGE

1. [

/2] Solve for all unknown sides and angles in this triangle. Round side b to the nearest tenth of a

metre and express the angles as whole numbers.

A

225 m

200 m

APPLICATION

2. A golfer hit her tee shot so that it landed about 21 ft behind a 40-ft tall pine tree. She decided to take

her second shot and hoped it would make it over the top of the tree. She used her lob wedge and hit the

ball, sending it upward at an angle of 60. Was she able to clear the top of the tree? Show calculations to

support your conclusion.

a. [ /1] Draw and label a picture of the information presented in this question.

b. [ /2] Determine if the golfer was able to clear the top of the tree. Show calculations to support

your conclusion.

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3. [

/2] To measure the distance across a river, a surveyor took measurements and drew the diagram

shown. Determine the distance from X to Y, rounded to the nearest tenth of a metre.

88

40

350.0 m

Z

THINKING & COMMUNICATION

4. [ /3] Jim and Brenda are preparing for a trigonometry test. When they see this practice question, Jim

decides to use Sine Law and Brenda decides to use Cosine Law to start solving the whole triangle. Who is

correct? Find any mistakes and explain what went wrong. After finding any errors, solve the triangle. State

side b rounded to the nearest hundredth of a metre and LC as an integer.

A

7.1 m

1090

2.7 m

180

B

Jim's Calculations:

sin C

sin 18

7.1

2.7

sin 18

sin C =

7.1

2.7

LC = 0.810

Brenda's Calculations:

a2 = 2.72 + 7.12 - 2(2.7) (7.1) cos 109

a2 = 70.18228304

a = 8.4 m

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G When are st...

G maxell xr me... areer Oppo... B...

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Name:

Unit 2 Assignment: Quadratic Relations

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FULL SOLUTIONS: Show calculations and work for full marks. Where appropriate, write full sentence responses.

KNOWLEDGE

1. Convert y = 5(x - 6)2 - 20 to standard form AND intercept form. Show all process work

a. Standard form:

b. Intercept form:

2 K

2. Write the equation of the new parabola in vertex form y = a(x - h) + k. If there is no value for a,

h or k do not write the letter. For example, y = 3x2 + 1 does not have a value for h, but is still

written in vertex form.

a. The parabola y = x2 is transformed vertically by a factor of 3 and opens down.

2K

b. The parabola y = x2 is translated 6 units left and 11 units up.

3. Find the initial value of the relation y = 3(x + 3)2 + 7

1K

4. State the coordinates of the zeros of the quadratic relation y = 5x2 - 5x - 30

1K

MBF 3C1 - Quadratic Relations Assignment... Show moreImage transcription text10:05 AM Wed Jul 19

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Dan Dan Home x tcdsu.elearn...

W All I Need Is...

G When are st...

G maxell xr me... areer Oppo... B...

1 of 2

Name:

Unit 3 Assignment: Exponential Relations

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FULL SOLUTIONS: Show calculations and work for full marks. Where appropriate, write full sentence responses.

KNOWLEDGE

1. [

/6] Write as a single power with a positive exponent and then evaluate.

Express each answer as a whole number or a fraction, not a decimal.

a) 43 x 4

b ) ( ( - 4 ) 2 ) 0

c ) (62) 4

d) (- 2) 2 : (- 2) 5

e) ()" x G)'

" ( ( - = ) )

THINKING & COMMUNICATION

2. [ /4] The population, P, of a small community can be modelled by the equation

P = 29 000(1.031) , where t is the time in years after 2017.

a) What was the population in 2017?

b) What will the population be in 2025?

APPLICATION

3. [ /4] A town's raccoon population is growing exponentially. The expected population

can be estimated using the relation P = 1350(1.013)", where P is the population and n is

the number of years.

a) What was the current raccoon population?

b) What is the expected population in 5 years?

MBF 3C1 - Exponential Relations Assignment... Show moreImage transcription text10:05 AM Wed Jul 19

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THINKING

5. State the equation of a relation whose graph would be narrower than the graph of y = x2

2T

6. State the equation of a relation whose vertex would be lower than the origin and to the left of the

y-axis.

COMMUNICATION

7. Graph this relation by plotting the vertex, then use the step pattern to plot at least 2 additional

points to sketch the graph of y = 0.5(x - 2)2 - 1.

10

6

2C

-4-

-10 -8 -6 -4 -2

2 4 6 8 10

H

2

APPLICATION

8. The manager of a local restaurant is trying to decide how much money to spend on advertising. She

knows that an increase in advertising spending will increase her profit, up to a point. The situation is

modelled by the relation R = -0.0005(A - 5000)2 + 12 500, where R is the extra revenue and A

is the amount spent on advertising, both in dollars.

a. State the coordinates of the vertex of this parabola.

b. What do the coordinates of the vertex represent in this situation?

4A

c. According to this relation, if $0 is spent on advertising, what will the revenue be?

d. According to this relation, if $200 is spent on advertising, what will the revenue be?

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4. [ /5] The world's population in 1980 was about 4.5 billion. Suppose the population increased at

a rate of 2% per year since then.

a) Write an exponential relation that models the problem. Explain what each variable represents.

[2 marks]

b) Use your answer to part a. to estimate the world's population in 2025. [1 mark]

c) Use your answer to part a) to estimate the world's population in 1970. [1 mark]

d) What assumptions are you making as you answer these questions? [1 mark]

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