Identify which of three conceptual models of division (repeated subtraction, partition, missing-factor) best corresponds to the problem.A student arranges to pay off a loan with monthly payments. If the loan is for $3000 and the monthly payment is $150, how many months will it take to pay off the loan?
A. Missing-factor
B. Repeated subtraction
C. Partition
Answer: B
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Solve the problem.Consider the pair of differential equations that model a predator-prey system with populations x and y. x'(t) = -5x + xy y'(t) = 2y - xy(a) Find the lines along which x'(t) = 0,(b) find the lines along which y'(t) = 0,(c) find the equilibrium points for the system.
A. (a) x' = 0 along the lines x = 
and y = 0
(b) y' = 0 along the lines y = 
and x = 0
(c) (0, 0) and 
B. (a) x' = 0 along the lines x = 0 and y = 5
(b) y' = 0 along the lines y = 0 and x = 2
(c) (0, 0) and (2, 5)
C. (a) x' = 0 along the lines x = 5 and y = 0
(b) y' = 0 along the lines y = 2 and x = 0
(c) (0, 0) and (5, 2)
D. (a) x' = 0 along the lines x = 0 and y = 
(b) y' = 0 along the lines y = 0 and x = 
(c) (0, 0) and 
Let x represent the number. Use the given conditions to write an equation. Solve the equation and find the number.When 4 times a number is subtracted from 7 times the number, the result is 30. Find the number.
A. 7x - 4x = 30; 10 B. 4(x - 7) = 30x; 0.9 C. 4x + 10x = 30; 3 D. 4x(7 - x) = 30; -10
Name the property that justifies the statement. All variables represent real numbers.
? 1 = 
A. Commutative property of multiplication B. Distributive property of multiplication over addition C. Identity property of multiplication D. Inverse property of multiplication
Convert the units.305 mL = 
L
A. 3.05 L B. 30,500 L C. 0.305 L D. 305,000 L