For Beth to get an A in her Spanish course she must earn a total of 360 points in 4 test each worth 100 points. If she got scores of 87, 96 and 91 on the first 3 test, determine using an inequality those scores she could make on the fourth test to get an A.
360 <= 87+96+91+x
86 <= x
To determine the scores Beth could make on the fourth test to get an A in her Spanish course, we need to understand the grading criteria and set up an inequality.
Let's assume Beth needs to earn a total of 360 points out of 400 to get an A in her Spanish course. So, the inequality we need to set up is:
(87 + 96 + 91 + x) ≥ 360
Here, x represents the score Beth can earn on the fourth test. The sum of the first three test scores (87, 96, 91) and the score on the fourth test (x) must be greater than or equal to 360.
To solve the inequality for x, we can simplify the left side:
274 + x ≥ 360
Next, we isolate x by subtracting 274 from both sides of the inequality:
x ≥ 360 - 274
x ≥ 86
Therefore, for Beth to get an A in her Spanish course, she must score 86 or higher on the fourth test.