Jillian must average at least 90 on two quiz scores before she can move to the next skill level. Jillian got a 92 on her first quiz. What scores could Jillian get on her second quiz in order to move to the next skill level?
Please help me and show your work thanks
I assume you mean she must average 90 or more
90 = (92+x)/2
180 = 92 + x
x = 88 or more
To find out the scores Jillian could get on her second quiz in order to move to the next skill level, we need to determine the minimum score she needs to reach an average of 90.
Let's use the following steps to find the range of scores Jillian can get on her second quiz:
Step 1: Determine the minimum average score she needs to move to the next skill level.
Since Jillian got a 92 on her first quiz, the average score of both quizzes should be at least 90. Therefore, the minimum average score she needs to achieve is 90.
Step 2: Calculate the sum of both quiz scores.
Given that the average is the sum of all the scores divided by the number of scores, we can calculate the sum of both quiz scores using the formula:
Sum of scores = Average × Number of scores.
Since Jillian has taken two quizzes and the average needs to be 90, we have:
Sum of scores = 90 × 2
= 180.
So, the sum of both quiz scores should be 180.
Step 3: Determine the range of scores Jillian can get on her second quiz.
To find the scores Jillian could get on her second quiz, we subtract the score she achieved on her first quiz from the sum of both quiz scores:
Possible score on second quiz = Sum of scores - Score on first quiz.
Using the values we have, we can calculate:
Possible score on second quiz = 180 - 92
= 88.
Therefore, Jillian could achieve a score of 88 or higher on her second quiz to reach the next skill level.