Question

Vlad spent 20 minutes on his history homework and then completely solved x math problems that each took 2 minutes to complete. What is the equation that can be used to find the value of y, the total time that Vlad spent on his homework, and what are the constraints on the values of x and y?
A y=2x+20; x is any integer greater than or equal to 0, and y is an integer greater than or equal to 20.

B y=2x+20; x is any integer greater than or equal to 0, and y is an integer greater than or equal to 20.

C y=20x+2; x is any integer greater than or equal to 0, and y is an integer greater than or equal to 20.

D y=20x +2; x is any real number greater than or equal to 0, and y is any real number greater than or equal to 20.

Answer 1

y = 2x + 20. The answer is A. Explanation: Vlad spends a known amount of time on his history homework (20). On top of it, he also spends an unknown amount of time on solving a number of math problems (x). Each problem takes two minutes to solve, so the amount of time that he spends solving math problems is 2*x or 2x. In total (y), Vlad spends 20 + 2x amount of time on his homework. So y = 2x + 20, where y is clearly greater or equal to 20 and x is greater or equal to 0.

Answer 2

(A) is the answer