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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:
The conversion of 2000 ft per min into miles per hour is 2.268 miles per hour .
Step-by-step explanation:
Given as :
The speed = s = 2000 ft per min
Now, ∵ 5280 feet = 1 miles
so, 1 feet = miles
∴ 2000 feet = × 2000 miles
i.e 2000 feet = 0.378 miles
<u>Again</u>
∵ 1 minute = hour
So, The speed in miles per hour
s =
∴ s =
i.e s = 2.268 miles per hour
Hence, The conversion of 2000 ft per min into miles per hour is 2.268 miles per hour . answer