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Amaya's test scores in Algebra 1 are 48 and 61. She has one more test left and wants to earn a D for the course, which is from 60-69 inclusive. Write a compound inequality to repesent the situation and solve the inequality to find the range of scores Amaya has to earn to get a D in Algebra 1. Amaya must get greater than or equal to a

Respuesta :

cdw2014
Amaya's overall grade will be an average of all the scores. To find the average, we must add up the scores and divide by the number of tests.

We know 2 of the scores, so we can represent the average as:

(48+61+x)/3

Now write the inequality.

60 <= (109 + x)/3 <= 69

Now let's find the lower bound to receive a D. First we need to multiply both sides by 3.

180 <= 109+x

Now subtract 109.

71 <= x

Now let's find the upper bound. Do the same thing but with the 69.

109+x <= 207

x <= 98

So Amaya will receive an overall grade of a D if she scores anywhere from 71 to 98 on the test.










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