In a golf tournament, Sam played 4 rounds and was within 2 strokes of par for all 4 rounds of the tournament. If par is 72 on the course he was playing, solve the equation| x - 4(72)| = 2 to determine the highest and lowest scores Sam could have made in the tournament.

Respuesta :

Given:

[tex]|x-4(72)|=2[/tex]

To find:

The highest and lowest scores Sam could have made in the tournament.

Solution:

We have,

[tex]|x-4(72)|=2[/tex]

[tex]|x-288|=2[/tex]

It can be written as

[tex]x-288=\pm 2[/tex]

Add 288 on both sides.

[tex]x=288\pm 2[/tex]

[tex]x=288-2[/tex] and [tex]x=288+2[/tex]

[tex]x=286[/tex] and [tex]x=290[/tex]

Therefore, the highest and lowest scores Sam could have made in the tournament are 290 and 286 respectively.