Answer:
25
Step-by-step explanation:
When we write expressions for the total cost of each field visit and set them equal, we find the solution to be the ratio of the difference in fixed cost to the difference in variable cost.
y = 75 +7x . . . . . cost for x students to visit the science center
y = 50 +8x . . . . cost for x students to visit the natural history museum
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Subtracting the first equation from the second, we get ...
0 = -25 +x
25 = x . . . . . add 25; the number of students such that costs are equal
The cost will be the same either place for 25 students.
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<em>Additional comment</em>
Here, the fixed cost difference is 75-50=25, and the variable cost difference is 8-7=1. The ratio of these costs is ...
$25/($1 /student) = 25 students.
This relationship only holds when the higher fixed cost is associated with the lower variable cost. Charges are such that one place caters to larger numbers of students (science center), and one prefers fewer students (natural history museum).
Answer:
Step-by-step explanation:
We are given the following in the question:
Quantity, q
Selling price in dollars per yard, p
Total revenue earned =
f(20)=13000
This means that 13000 yards of fabric is sold when the selling price is 20 dollars per yard.
f′(20)=−550
This means that increasing the selling price by 1 dollar per yards there is a decrease in fabric sales by 550.
We have to find R'(20)
Differentiating the above expression, we have,
Putting the values, we get,
Answer:
(y - 1)(5y - 2)
Solution:
Factor:
2 - y(7 - 5y)
Apply the Distributive Property:
2 - 7y + 5y²
Reorder the expression:
5y² - 7y + 2
Rewrite the term:
5y² - 5y - 2y + 2
Regroup terms into two proportional parts:
(5y² - 5y) + ( -2y + 2)
Factor Greatest Common Factors out:
5y(y - 1) - 2(y - 1)
(y - 1)(5y - 2)
If you don’t your answer will not be correct also when you use them it helps you find the correct answer
