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 thay vlad spent on his homework and what are the constraints on the value of x and y

Answer 1

y = 2x + 20

`y\geq 20`

`x\geq 0`

Explanation:

Vlad spent 20 minutes on history. Then Vlad spent 2 minutes on each math problem for homework, this is 2x. So in total, he spent 20+2x on homework. Depending on how many problems he did, the total time y can be found. This is the equation 20+2x=y.

If Vlad did 0 math problems then he spent at least 20 minutes on homework from history. This is the constraint
`y\geq 20`.

We also know Vlad can do many math problems but the least amount he did was 0, so the second constraint is
`x\geq 0`.