Question

Integral question?

Answer 1

A warehouse charges its customers 4 dollars per day for every 10 cubic feet of space used for storage.How much will the company have to pay for their storage that month?

Answer 2

why do you think it is integral problem?

Answer 3

Because its under the integral chapter in my book

Answer 4

seems there is no change in the slope of that graph. it looks pretty linear. is there more the the question?

Answer 5

to me, no need to use integral, just look at the pic, that month , the company use 40000cubic feet, and each feet cost 4dollars, so that month the company have to pay 160000dollars, that's it. hehehe

Answer 6

where did you get 40,000 feet? It changes every day...and no this is all that is given in the problem

Answer 7

oh yea, you are right, I am sorry.

Answer 8

it okay...idk ive done problems like this before but we were given a equation or given the y values for every x value.

Answer 9

well it looks like it starts at 60k cubic feet and ends at 20k cubic feet over 30 days

Answer 10

so we can make an equation using that. but its still linear according to the graph. unless im missing something

Answer 11

\[\text{Total cost} = \frac{ 4 }{ 10 } \int\limits_{0}^{30}f(x)dx\]

Answer 12

Find f(x). It is a straight line with y intercept b = 60,000 and
slope m = (60000 - 20000)/(0 - 30)

Answer 13

f(x)=-4000/3x+60000 right?

Answer 14

yes. Integrate it and evaluate it over 0 to 30. Multiply by 0.4.

Answer 15

okay thanks

Answer 16

I have another way to solve it.
The total area they use is