Question

Suppose that for you to make the golf team you need to score no more than 74 on average over 5 games. If you scored 77,71,77, and 67 in your first 4 games. What is the highest score you can shoot in your 5th game and still make the team?

Answer 1

(77 + 71 + 77 + 67 + x) / 5 < 74
(292 + x) / 5 < 74
292 + x < 74 * 5
292 + x < 370
x < 370 - 292
x < 78...the highest score u can shoot is 77

Answer 2

The highest score we can shoot in our 5th game and still make the team is:

78

Explanation:

We scored 77,71,77, and 67 in our first 4 games.

Let score in fifth game be x

If we want a average score of no more than 74 over 5 games,then

`(71+77+77+67+x)/(5)\leq 74`

`(292+x)/(5)\leq 74`

292+x≤370

x≤370-292

x≤78

Hence, the highest score we can shoot in our 5th game and still make the team is:

78