An oil company estimates that the cost, C, in dollars, of cleaning up x percent of an oil spill can be modeled by the equation C = k x/100 − x, where 0 ≤ x < 100, and k is a constant. The company has data that indicates that spending $360,000 will clean up 80% of an oil spill. A) Use this information to find the value of k. (Round your answer to 4 decimal places) [Hint: k will be a big number]

B) Use the model (and your value of k from part A) to predict the percentage of an oil spill that can be cleaned up if the company’s budget is $720,000. Round your answer to the nearest tenth.

dsfdsf

step-by-step explanation:

fddsf

step-by-step explanation:

we are given

since, we have to isolate x on anyone side

so, we can move all x terms on one side

subtract both sides by 2x

add both sides by 9

divide both sides by 4

we get

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is