Find the volume of a cone with radius 7.5 m and height 16 m.
2 answers:
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Given:
The increase in pressure P is the linear function of the depth d.
The cost of dinner is $300 and $10 per students.
To find:
The initial value and rate of change and their interpretation.
Find the cost function C where n is the number of students.
Solution:
The slope intercept form of a linear function is
...(i)
where, m is rate of change and b is y-intercept or initial value.
We have,
...(ii)
From (i) and (ii), we get
The initial value is 14.7. It means, the pressure at sea level is 14.7 pounds psi.
Rate of change is 0.445. It means, the pressure is increasing by 0.445 pounds psi for every feet.
The cost of dinner is $300 and $10 per students.
Let C(n) be the total cost for dinner and n be the number of students.
Fixed cost = $300
Additional cost for 1 student = $10
Additional cost for n student = $10n
Now,
Total cost = Fixed cost + Additional cost
Therefore, the required cost function is .
Answer:
1000 miles
Step-by-step explanation:
We will use the distance equation to find the answer to this problem.
D = RT
Where
D is distance
R is rate
T is time
At 250 miles per hour, suppose it takes t hours to go to st. paul. Thus, we can write:
D = 250t
Now, at 200 mi per hour, it takes 1 hour longer, so the time is "t + 1", so we can write:
D = 200(t+1)
We can equate both and see:
Now, we solve for t first:
We want the distance of St. Paul, so we can use any equation. lets use the 1st equation:
D = 250t
we know t = 4
so
D = 250 * 4 = 1000 miles
Distance to St. Paul is 1000 miles