Answer:
Step-by-step explanation:
If two variables are directly proportional, it means that an increase in the value of one variable would cause a corresponding increase in the other variable. Also, a decrease in the value of one variable would cause a corresponding decrease in the other variable.
Given that Y varies directly with X, and Y = 15 and X = 5, if we introduce a constant of proportionality, k, the expression becomes
15 = 5k
k = 15/5
k = 3
The equation would be
Y = 3X
Therefore, when X = 9, the value of Y would be
Y = 3 × 9
Y = 27
Answer:
The population increased by 92 million.
Step-by-step explanation:
141 - 49 = 92
Answer:
The answer is ""
Step-by-step explanation:
Given:
Cross multiplication:
Answer:
The correct answer is a) R = = - + 30x; b) $ 1120; c) Maximum quantity is 75 units with maximum revenue being $1125; d) p = $15.
Step-by-step explanation:
Demand equation: p = - x + 30 , 0 x 150 ; where p is the price of the product and x is the quantity sold.
a) Revenue function by the problem is given to be R= p × x = - + 30x.
b) Revenue at x = 70 is given by 2100 - 980 = $ 1120.
c) For maximizing the R we differentiate it with respect to x and equate it to zero.
⇒ - x + 30 =0
⇒ x = 75.
As the second order derivative is negative at this point, this is the value of x that maximizes the revenue.
Maximum Revenue is at x = 75 and is equal to $1125.
d) Price charged by the company for maximum revenue is $15.
If he has at most 200 gold coins
he can bye at most 200/15≥c cases so 15·c ≤200
Answer is D. 15 c ≤200 because the price paid can not exceed the 200 budget