Question

golf is a sport played on a course where golfers hit a ball into a series of small holes. most courses are made up of either 9 or 18 holes. playing all the holes of a course constitutes a round. par is both the expected score on each hole as well as the expected total score for a round. players keep track of their scores by counting the number of times they hit the ball on each hole and then calculating the total number of shots they took for the round. a players score for his or her round is also recorded using an integer that represents the scores relationship to par. for example, suppose a player shoots a score of 70 for a round of golf on a course where par is 72. because a score of 70 is 2 less than 72, the players score of 70 is also recorded using the integer -2. the score -2 is read as \2 under par.\ similarly, a score of 75 on a par - 72 course is also recorded as 3, which is read as \3 over par.\ the scores for six players in a golf tournament are shown in the table. the course where the tournament was held is a par - 70 course. 1. order the scores from least to greatest. 2. who had the better score, mercy or rory? justify your answer. 3. how many shots did micah take during her round? how many did charlotte take? explain. 4. suppose a golfer took 70 shots to finish his or her round on this course. what integer represents this score?

Explanation:

Step1: Order scores

We know that negative numbers are less than positive numbers, and among negative numbers, the larger the absolute - value, the smaller the number. So the order from least to greatest is: $-5, - 4, -3, -2,1,3$.

Step2: Compare Mercy and Rory

Mercy's score is $-2$ and Rory's score is $-3$. Since $-2>-3$ (because on the number line, $-2$ is to the right of $-3$), Mercy had a better score.

Step3: Calculate shots

The par of the course is 70. Micah's score is $-4$, which means Micah took $70 - 4=66$ shots. Charlotte's score is $1$, so Charlotte took $70 + 1 = 71$ shots.

Step4: Find the integer score

If a golfer took 70 shots and the par is 70, then the integer representing the score is $70-70 = 0$.

Answer:

1. $-5, - 4, -3, -2,1,3$
2. Mercy had a better score because $-2 > - 3$.
3. Micah took 66 shots ($70-4 = 66$) and Charlotte took 71 shots ($70 + 1=71$).
4. 0