Lines
In the general equation of a line, this is the initial value.
What is "b" in y=mx+b?
This is the general equation for money that is being compounded continuously.
What is y=Pert
This just means the first derivative of the revenue function
What is the marginal revenue?
This is the equation for the average cost
This is the general equation of a profit function
What is P(x)=R(x)-C(x)?
If McLovin has $20 and is given $5 each month, this is the function M(t) that models the amount of money McLovin has after t months.
What is M(t)=5t+20?
If y=200e.02x , represents the amount of money in a bank account after t years, find and interpret y(6).
What is "After 6 years, the account will have $225.50"?
Given a demand function x=600-30p, This is the quantity demanded if the item is priced at $5
What is $350?
Given C'(x)=20x+5, this is the cost of the 10th item.
What is $185.00?
This is just C'(9)
If P(x)=x2-1, this is where the company breaks even.
What is x=1?
This is the equation of the line passing through (12,16) and (14,28).
What is y=6x-56?
Given J(x)=50e0.5x, this is J'(5)
You may use any method
What is 304.56
Given R(x)=3x2+24x-13, this is the equation for the marginal revenue.
What is R'(x)=6x+24?
If C(x)=30x3+40x+10, this is the average cost of 5 items.
What is $952?
Given R(x)=3x and C(x)=x+16x, this is where the company breaks-even.
If Y(t) models the temperature of a yam after being in an oven for t minutes, this is the interpretation of Y'(5)=6.2.
What is "After being in the oven for 5 minutes, the temperature of the yam is increasing 6.2 degrees per minute"?
This is the derivative of H(x)=200e.02x
What is 4e.02x?
Given a demand function x=20-p, this is the revenue function
What is -x2+20x?
If R(x)=5x2 and C(x)=2000x+500, this is where the marginal cost equals the marginal revenue.
What is x=200?
If a bank account has $1,150 after 5 years and $1990 after 12 years, this is the function L(t) that models the amount of money in the account.
What is L(t)=120t+550?
If $400 is placed into an account that grows continuously at 6%, this is the time in years that it will take the investment to double (round to the nearest integer).
What is 12 years?
If R(x)=-4x2+16x-2, this is the maximum revenue.
What is $14.00
If C'(x)=2x+5 and the initial cost is $20, this is the total cost of producing 10 units.
What is $170?
Given R(x)=-20x2+40x+80 and C(x)=50x+10, this is the maximum profit.
Rounded to the nearest dollar
What is $71.00?