If i have a test average of 74% and i need to make an average of at least 83% what would the lowest grade i could make be on the final test? (tests are worth 20%)

Which tests are worth 20%?

If previous tests count 20% and the final test counts 80%,
0.2*0.74 + 0.8*X = 0.83
0.8X = 0.682
X = 85.3%

Explain and show how you would estimate 0.5 x 4.62. Then justify why this is a good choice for arriving at the correct answer.

all tests are worth 20 percent

To find the lowest grade you could make on the final test, let's break down the information given:

1. Your current test average is 74%.
2. The final test is worth 20% of the overall grade.
3. You need to have an average of at least 83%.

Now, let's calculate the minimum grade you need on the final test:

1. Subtract 74% from 83% to find how much higher your average needs to be: 83% - 74% = 9%.

2. Multiply the remaining percentage (9%) by the weight of the final test (20%) to determine how much that contributes to your average: 9% × 20% = 1.8%.

3. Subtract this contribution (1.8%) from the remaining weight of the other assignments (80%) to find how much you have left to distribute: 80% - 1.8% = 78.2%.

4. Divide the remaining weight (78.2%) by the weight of each test to see how many more tests are needed: 78.2% ÷ 20% = 3.91. Since you can't have a fraction of a test, you need to take the ceiling value, which is 4 tests.

5. To find the lowest grade you can make on the final test to achieve an average of at least 83%, distribute the remaining weight among the extra tests: 100% ÷ 4 tests = 25%.

Therefore, the lowest grade you could make on the final test and still achieve an average of at least 83% is 25%.