In order to earn an A in a class, your test scores must average at least 92%. On the first 6 tests, you have an average of 91%. What score do you need to get on the last test to earn an A? Show your work.
.91 = sum of first 6/6
so
sum of first 6 =5.46
sum of first seven then is 5.46 + x
so
(5.46 + x)/7 >/= .92
5.46 + x >/= 6.44
so
x >/= .98
EXCELLENT. Thanks much.
To find out the score you need to earn on the last test in order to earn an A, we can use the following formula:
(average * number of tests) + (desired average - current average) = required score on last test
Given:
Current average = 91
Desired average = 92
Number of tests = 7
Plugging the values into the formula:
(91 * 6) + (92 - 91) = required score on last test
546 + 1 = required score on last test
Therefore, you need to score a 547 on the last test to earn an A.
To find out what score you need to get on the last test to earn an A, we can set up an equation and solve for the unknown score.
Let's assume the unknown score on the last test is x.
To calculate the average of all 7 tests, we need to consider the total score earned on all tests. Since we have already completed 6 tests with an average of 91%, the total score for those tests is 6 * 91 = 546.
To earn an A, you need the average of all 7 tests to be at least 92%. Therefore, the total score required to earn an A is 7 * 92 = 644.
Now, we can set up the equation:
(546 + x) / 7 = 92
To solve for x, we can start by multiplying both sides of the equation by 7:
546 + x = 644
Next, we can subtract 546 from both sides to isolate x:
x = 644 - 546
x = 98
Therefore, you need to score at least 98% on the last test in order to earn an A in the class.