Question
A student has scores of 58.5, 56.75, and 62.25 on his first three tests. He needs an average of at least 60 to earn a grade of D. What is the minimum score that the student needs on the fourth test to ensure a D?
53
likes264 views
Answer to a math question A student has scores of 58.5, 56.75, and 62.25 on his first three tests. He needs an average of at least 60 to earn a grade of D. What is the minimum score that the student needs on the fourth test to ensure a D?
Jett
4.797 Answers
1. Sum the scores of the first three tests:
58.5 + 56.75 + 62.25 = 177.5
2. Set up the inequality for the average of the four tests:
\frac{177.5 + x}{4} \geq 60
3. Multiply both sides by 4 to clear the denominator:
177.5 + x \geq 240
4. Subtract 177.5 from both sides to solve for \( x \):
x \geq 62.5
Answer: The minimum score that the student needs on the fourth test to ensure a D is 62.5.
2. Set up the inequality for the average of the four tests:
3. Multiply both sides by 4 to clear the denominator:
4. Subtract 177.5 from both sides to solve for \( x \):
Answer: The minimum score that the student needs on the fourth test to ensure a D is 62.5.
Frequently asked questions (FAQs)
What is the average age (in years) of a sample of 50 people if the sum of their ages is 2,500 years?
+
Math Question: What is the absolute maximum or minimum value of the function f(x) = x^3 - 6x^2 + 9x over the interval [0, 4]?
+
Math question: Find the limit as x approaches 0 of (sin(x) - x) / ((tan(2x))^2).
+
New questions in Mathematics