The function is increasing and linear on the interval ab The function fx is

# The function is increasing and linear on the interval

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The function is increasing and linear on the interval [a,b]. The function f(x) is decreasing and concave up on the interval [a,b]. The function f(x) is decreasing and concave down on the interval [a,b].

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You Answered The function f(x) is increasing and concave up on the interval [a,b]. Correct Answer The function f(x) is increasing and concave down on the interval [a,b]. The function is increasing and concave down on the interval . Question 10 0 / 1 pts Suppose a firm faces the following demand and supply curves for it's product: Calculate the equilibrium price p&OverBar; and quantity x&OverBar;. You Answered Correct Answer Set . Solve for , then substitute this back into or to find : 250-1/2x=100+x 150=3/2x X=100
Question 11 1 / 1 pts Simplify the expression: (4x2y3)12 Correct! Question 12 0 / 1 pts The following formula describes the quantity Q of a substance in milligrams (mg) as a function of time t, in hours. Q=100(0.97)t. Choose the correct statement below. When t=0, Q=100mg. Q is decreasing linearly at 0.97 mg per hour. When t=0, Q=0mg. Q is increasing linearly at 100mg per hour.

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When t=0, Q=0.97mg. Q is increasing exponentially at 100% per hour. Correct Answer When t=0, Q=100mg. Q is decreasing exponentially at 3% per hour . You Answered When t=0, Q=97mg. Q is increasing exponentially at 97% per hour. When , mg. is decreasing exponentially, at per hour. The base corresponds to a decrease. Question 13 1 / 1 pts A quantity P is a exponential function of time t, that is P=P0at, where a is a positive constant and P0 is the quantity at t=0. Suppose that Use this information to find a and P0 and state the rate of exponential growth or decay. a=0.75, , exponential decay at a rate of 25%. a=0.86, , exponential decay at a rate of 14%. a=1.05, , exponential growth at a rate of 5%. Correct! a=0.91, , exponential decay at a rate of 9%. a=1.09, , exponential growth at a rate of 9%. We have two equations and two unknowns. We can eliminate if we first solve each equation for . This first step gives us two equations for .
We have two expressions that both equal , so we can set them equal to each other, and then solve for : Use in either above equation to find . You should get the same answer either way so you can use both as a check. Question 14 1 / 1 pts Suppose a firm has a linear profit function P(x) = 5x-3000. This function has one x-intercept. Interpret the meaning of the x-intercept in economic terms. Hint: Ask yourself how much the profit is at the x-intercept. The x-intercept is 5. This is the firm's marginal revenue. The x-intercept is -3000. The firm has fixed costs of \$3000. The x-intercept is 5. This the price that the firm charges for each unit. Correct! The x-intercept is 600. This is the quantity the firm must produce and sell to break-even. The x-intercept is 600. This is the firm's marginal profit. An -intercept is where . When profit is zero, we are at a break-even point for the firm.

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