A contractor must haul a large amount of dirt to a work site. She collected information from two hauling companies.

EZ Excavation gives its prices in a table.

dirt
(cubic yards) cost
(dollars)
8 196
20 490
26 637
Happy Hauling Service gives its prices in a graph.


How much would each hauling company charge to haul 40 cubic yards of dirt? Explain or show your reasoning.
Calculate the rate of change for each relationship. What do they mean for each company?
If the contractor has 40 cubic yards of dirt to haul and a budget of $1000, which hauling company should she hire? Explain or show your reasoning.

Answers -

How much would each hauling company charge to haul 40 cubic yards of dirt? Explain or show your reasoning. EZ evacauation --) $980  Happy Hauling --) $1000

Calculate the rate of change for each relationship. What do they mean for each company?   EZ evacauation --) $24.5 per cubic yard    Happy Hauling --) $25 per cubic yard

If the contractor has 40 cubic yards of dirt to haul and a budget of $1000, which hauling company should she hire? Explain or show your reasoning.

EZ evacauation --) it is less expensive

Using the cost function deduced from the graph and table, the rate of change of each function represents the amount charged per cubic yard of dirt.

EZ Excavation cost function :

Slope, b = (637 - 198) ÷ (26 - 8) = 24.5

196 = 24.5(8) + c

196 = 196 + c

c = 196 - 196 = 0

Hence, EZ's cost function is y = 24.5x

For Happy Hauling :

Slope = (50 - 25) ÷ (2 - 1) = 25 ÷ 1 = 25

25 = 25(1) + c

c = 25 - 25 = 0

Hence, Happy family's cost function is y = 25x

Cost of 40 cubic yard of dirt :

Happy Family ; y = 25(40) = $1000

EZ contractor = y = 24.5(40) = $980

Therefore, EZ contractor should be hired as they have a lesser fee.

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115 ft3

297 ft3

462 ft3

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Question 1 (1 point)
A scatterplot shows several points with number of hours watching TV versus weekly wages. The researcher came up with the following equation for the trendline.

Weekly wages = -50.755*(hours of TV watched) + 180.

What is the significance of the slope in the context of this model?

Question 1 options:

The amount of TV someone watches does not impact the money they earn. It will stay the same no matter what.


The more TV someone watches, the less money they will earn.


The more TV someone watches, the more money they will earn.

Question 2 (1 point)
An economist creates a scatter plot comparing years of experience to yearly salary (in dollars) at a particular company. The trend line through the data can be described by the equation y = 8,000x + 40,000.

What is the initial value and what does it mean?

Question 2 options:

40000; For their every year of experience an employee has, their salary goes up by this amount.


8000; For their every year of experience an employee has, their salary goes up by this amount.


40000; Regardless of how much experience an employee has, this is the minimum amount the employee will earn at this company.


8000; Regardless of how much experience an employee has, this is the minimum amount the employee will earn at this company.Which is the best description for this scatterplot?

Question 3 options:

None of these


Positive nonlinear association


Negative linear association


Positive linear association

Question 4 (1 point)
An economist creates a scatter plot comparing years of experience to yearly salary (in dollars) at a particular company. The trend line through the data can be described by the equation y = 4,000x + 20,000.

If someone has a yearly salary of $72,000, to the nearest whole year, how many years of experience do they have?

Question 4 options:

228


13


2


8

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