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

whole numbers.

step-by-step explanation:

we are given the average monthly rainfall (in millimeters) model r(m) for the years 1900-2009 as a function of the month number m.

as we can see m is taken for the number of months for years 1900-2009.

we know that number of months can't be a negative number or decimal number or a fraction.

so, the number of months could be only positive whole numbers.

therefore, whole numbers is more appropriate for the domain of r.

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204