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.

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

fichoh fichoh · Answer 2 · 2021-11-09T19:16:30+01:00

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.

Happy Hauling = $25
EZ contractor = $24.5
EZ contractor is cheaper

EZ Excavation cost function :

y = bx + c

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.

Learn more : https://brainly.com/question/15370209