The amount of paint that David needs to cover a cube is directly proportional to the surface area. If David can completely cover
1 answer:
Answer:
The cube must be 21.125 feet long.
Step-by-step explanation:
David can completely cover a cube of side length equal to 2 feet, using 16 quarts of paint.
With this we make a conversion factor:
feet/quarts = 0.125 feet/quarts
This means that with each quart of paint you can paint a 0.125-foot long cube
We need to know how big is the length of a cube that can be covered with 169 quarts of paint
Then we use the conversion factor found earlier
The cube must be 21.125 feet long.
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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 .