After 4 tests, Amanda's average score was 88. What score must she earn on her next test to have a 5-test average?
Whatever score she makes, she'll still have a 5-test average.
Does she have a specific average she'd like to achieve?
Sorry specific average after 5 tests should be 90.
(4(88) + x)/5 = 90
352 + x = 450
x = 98
To find out what score Amanda must earn on her next test to have a 5-test average, we need to understand how averages work.
The average of a set of numbers is found by adding up all the numbers in the set and then dividing the sum by the total number of values.
In this case, Amanda has already taken 4 tests, and her average score was 88. To find the total sum of her scores on the 4 tests, we multiply her average score (88) by the number of tests (4). So, the total sum of her scores on these 4 tests is 88 * 4 = 352.
Now, we want to find out what score Amanda must earn on her next test to have a 5-test average. Since the average is found by dividing the total sum of scores by the number of tests, we can set up an equation:
(352 + X) / 5 = A
Where X represents the score Amanda needs to earn on her next test, and A represents the desired average. In this case, the desired average is not mentioned, so we'll assume that Amanda wants to maintain the same average of 88.
Substituting the values into the equation, we have:
(352 + X) / 5 = 88
To solve for X, we can multiply both sides of the equation by 5:
352 + X = 88 * 5
Simplifying the equation further:
352 + X = 440
Next, subtract 352 from both sides of the equation:
X = 440 - 352
Finally, we calculate X to find the score Amanda must earn on her next test:
X = 88
Therefore, Amanda must earn a score of 88 on her next test to maintain an average of 88 after 5 tests.