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?

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

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

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

4. 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

I believe #2 would be the best answer. Either that or #1.

Answer 2

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

Explanation:

Vlad spent 20 minutes on his history homework and then completely solved x math problems that each took 2 minutes to complete

Let x be the number of math problems

Initial time spent = 20 minutes

Equation is y=mx+b

each problem took 2 minutes to complete.. so m=2

`y=mx+b`

`y=2x+20`

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