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Question

4. St. Josephine Bakhita Catholic Secondary School plans to do some landscaping around their building. They have two estimates:

Company A: $125 for a landscape plan, plus $25 per hour to do the work.

Company B: $50 per hour to do the work necessary.

a) Create an EQUATION to represent the cost of each company. (2 marks)

Company A cost = Company B cost =

b) Complete the table of values for each company. (2 marks)

Company A Time (h) Cost ($)

0

1

2

3

4

5

6

Company B

Time (h) Cost ($)

0

1

2

3

5

6

d) What is the point of intersection and what does it mean in reference to the costs with the landscaping? (3 marks)

e) If the job took 3 hours, which company would you choose? Explain your answer. (2 marks)

f) If the job took 8 hours, which company would you choose? Explain your answer. (2 marks)

g) Complete each of the following sentences: (2 marks)

St. Josephine Bakhita CSS should choose Company A if…

St. Josephine Bakhita CSS should choose Company B if…

Answer 1

A = 125 +5H

B = 50H

125+5H = 50H

45H = 125

H = 125/45 = 25/9 = about 2.78 hours for a cost of 50(25/9) = 1250/9 = about $138.89

H =2.78 Cost = $138.89

this point of intersection mean both plans cost the same at 2.78 hours, with Cost at $138.89

at 3 hours, B costs $150 and A costs 125+5(3) = $140.

A is cheaper for any hours over 2.78

at 8 hours B costs $400 and A costs 125+5(8)= $165

Choose A if H>2.78 hours

Choose B if H<2.78 hours

Same Cost if H=2.78 hours