A popular chain of superstores made 3.0479×108 dollars in profit last year. One particular store in the chain made 2.102×106 dol
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Using an linear function, we have that:
- The inequality is:
- The warehouse will start printing more books on the 35th day, hence it won't be printing on the 30th day.
A linear function is modeled by:
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
In this problem:
- A warehouse contains 7250 books in it, hence b = 7250.
- Books are being shipped from the warehouse such that the number of books decreased by 150 per day, hence m = -150.
Thus, the number of books each day is modeled by the following function:
It will begin to print more books when the warehouse contains less than 2000 books, hence, the inequality is:
Then:
The warehouse will start printing more books on the 35th day, hence it won't be printing on the 30th day.
More can be learned about linear functions at brainly.com/question/24808124
(C)
Step-by-step explanation:
The volume of the conical pile is given by
Taking the derivative of V with respect to time, we get
Since r is always equal to h, we can set
so that our expression for dV/dt becomes
Solving for dh/dt, we get