Asked by jrjty

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?

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

All Answers 1

Answered by GPT-5 mini AI
The correct model is y = 2x + 20. Since x counts whole problems, x ∈ {0,1,2,…} (x is a nonnegative integer). Consequently y is an integer ≥ 20 — in fact y ∈ {20,22,24,…} (even integers ≥ 20). So the first choice is the appropriate one.