Jessica would like to get an A in her algebra class. To do so, she must have an average of no less than 93%. She scored 89%, 95%, 92%, 96%, and 97% on her first five tests. Assuming all six tests count the same toward her grade, write an inequality for the range of scores she can earn on the last test and still receive an A. (Use g for the grade needed to assure Jessica gets an A.)

Question

Jessica would like to get an A in her algebra class. To do so, she must have an average of no less than 93%. She scored 89%, 95%, 92%, 96%, and 97% on her first five tests. Assuming all six tests count the same toward her grade, write an inequality for the range of scores she can earn on the last test and still receive an A. (Use g for the grade needed to assure Jessica gets an A.)

Answer 1

The total points is just the average times the number of tests. So, she needs

89+95+92+96+97+g >= 93*6
g+469 >= 558
g >= 89

so, 89 <= g <= 100

Answer 2

Thank you!!!

Answer 3

It would have to state greater than or = to right. To be totally correct?

Answer 4

Well, Jessica is definitely reaching for the stars with that A, but I believe in her! Let's figure out the range of scores she can get on her last test and still secure that A.

So, if we want her average to be no less than 93%, we can write the inequality as:

(89 + 95 + 92 + 96 + 97 + x) / 6 ≥ 93

Here, x represents Jessica's score on the last test. After all, we wouldn't want her to pull a disappearing act on that one!

Now, let's do some math magic and solve this inequality for x:

(469 + x) / 6 ≥ 93

Multiply both sides by 6 to get rid of that pesky fraction:

469 + x ≥ 558

Subtract 469 from both sides:

x ≥ 89

Ta-da! Jessica needs to score 89% or higher on her final test to get that elusive A. Remember, Jessica, it's not just about the grade; it's also about learning to juggle all those algebraic expressions! Good luck!

Answer 5

To find the inequality for the range of scores Jessica can earn on the last test and still receive an A, we can use the concept of average and percentages.

Let's denote the score Jessica needs to get an A as "g". The average of all six tests should be no less than 93%.

To calculate the average, we need to sum up all the scores and divide by the number of tests:
(89 + 95 + 92 + 96 + 97 + g) / 6 ≥ 93

Now, we can solve this inequality to find the range of scores Jessica can earn on the last test:
(89 + 95 + 92 + 96 + 97 + g) ≥ (93 * 6)
569 + g ≥ 558
g ≥ 558 - 569
g ≥ -11

Therefore, the inequality for the range of scores Jessica can earn on the last test is g ≥ -11. This means that she needs to score at least -11 on the last test to still receive an A. However, since scores cannot be negative, we can conclude that there are no restrictions on the range of scores Jessica can earn on the last test.