Question

On average, Ryan can finish a puzzle in 3 hours but, depending on the difficulty of the puzzle, his time can vary Let x represent the maximum and minimum time

Answer 1

Answer:

Ryan's maximum time to complete a puzzle is 5 hours

Ryan's minimum time to complete a puzzle is 1 hour

Step-by-step explanation:

The complete question is

On average, Ryan can finish a puzzle in 3 hours but, depending on the difficulty of the puzzle, his time can vary from the average by 2 hours.

Which absolute value equation can be used to calculate Ryan's maximum and minimum time to complete a puzzle?

Let x represent the maximum and minimum time

we know that

The absolute value of the difference between x and the average must be equal to 2

so

$\left|x-3\right|=2$

Solve the absolute value

First case (positive case)

$+(x-3)=2$

$x=2+3\\x=5$

Second case (negative case)

$-(x-3)=2$

Multiply by -1 both sides

$(x-3)=-2$

$x=-2+3\\x=1$

therefore

Ryan's maximum time to complete a puzzle is 5 hours

Ryan's minimum time to complete a puzzle is 1 hour