Question

Harold wants to get a grade of 70 to 75 in his math class. His grade will be the average of two test scores. He got a 68 on the first test. What is the highest and lowest grade he could get to meet this criteria?

Answer 1

To meet his goal of an average between 70 and 75, Harold needs to score between 72 and 82 on his second math test.

Step-by-step explanation:

Harold wants to achieve a grade between 70 and 75 in his math class. His first test score is a 68. To find the range of scores he could get on the second test to meet his goal, we calculate the required scores using the formula for the average of two tests:

Average = (Test1 + Test2) / 2.

To get an average of 70, the lowest acceptable average, the calculation would be:

70 = (68 + Test2) / 2
140 = 68 + Test2
Test2 = 72.

For an average of 75, the highest acceptable average, the calculation would be:

75 = (68 + Test2) / 2
150 = 68 + Test2
Test2 = 82.

Therefore, the lowest score Harold could get on his second test is a 72 and the highest is an 82 to achieve his desired average.