Question

In Order To Be Accepted Into The Math Club, Hassan Must Average 85 Or Higher On A Series Of 5 Tests. The Scores For His 1st 4 Tests Are Shown In The Table. Which Inequality Can Be Used To Determine X , The Grade Hassan Needs To Earn On The 5th Test To Have An Average Of 85 Or Higher?

Answer 1

Hassan needs to satisfy the inequality x >= 425 - (a + b + c + d) to achieve an average of 85 or higher on his 5 tests, where x is the score on the 5th test and (a, b, c, d) are the scores on his first four tests.

Step-by-step explanation:

To determine the grade Hassan needs to earn on the 5th test to have an average of 85 or higher, we need to set up an inequality representing his situation. The first four test scores Hassan received are missing from the provided information, but we can denote them as a, b, c, and d. Thus, the total score from these four tests is a + b + c + d. To find the score Hassan needs on the fifth test, denoted as x, we will use the formula for the average (mean) of the five tests which must be greater than or equal to 85.

The inequality representing this situation is:

(a + b + c + d + x) / 5 ≥ 85

Multiplying both sides by 5 to eliminate the fraction gives:

a + b + c + d + x ≥ 425

Finally, rearranging for x yields the inequality Hassan needs to satisfy:

x ≥ 425 - (a + b + c + d)

This represents the minimum score Hassan needs on his final test to achieve an average of 85 or higher.

Answer 2

The inequality that Hassan needs to earn on the 5th test to have an average of 85 or higher is
`(88+92+79+89+x)/(5)\geq 85`.

Word problems involving inequality.

In order for Hassan to be accepted in the math club, he must have an average point of 85 or higher. This phrase simply mean the average point of Hassan must be ≥ 85.

If the score of his 1st 4 test are: 88, 92, 79,89, then the inequality that can be used to determine the grade Hassan needs to earn on the 5th grade can be computed as:

`(88+92+79+89+x)/(5)\geq 85`

To solve the inequality, we have:

88 + 92 + 79 + 89 + x ≥ (85 × 5)

348 + x ≥ 425

x ≥ 77

The value of x on the fifth test must not be less than 77 to meet the average of 85 or higher.

The complete question can be seen in the image attached below.