Shureka Washbum has scores of 74, 88, 61, and 83 on her algebra tests.

a. Use an inequality to find the scores she must make on the final exam to pass the course with an average of 76 or higher, given that the final exam counts as two

tests

b. Explain the meaning of the answer to part (a).

The solution set is {x{ }

(Type an inequality.)

Question

Mario Mcclain

Mathematics

17 July, 17:42

Shureka Washbum has scores of 74, 88, 61, and 83 on her algebra tests.

a. Use an inequality to find the scores she must make on the final exam to pass the course with an average of 76 or higher, given that the final exam counts as two

tests

b. Explain the meaning of the answer to part (a).

The solution set is {x{ }

(Type an inequality.)

+2

Answers (1)

Know the Answer?

Justice Klein · Answer 1

Step-by-step explanation:

If x is her score on the final exam, then the average is:

(74 + 88 + 61 + 83 + 2x) / 6

(306 + 2x) / 6

51 + ⅓x

We want this to be greater than or equal to 76.

51 + ⅓x ≥ 76

⅓x ≥ 25

x ≥ 75

In order to get an average of 76 or higher, Shureka's score on the final exam must be greater than or equal to 75.