QuestionWhat score does Vanessa need on her fourth quiz to average at least 40 if her scores are 45, 32, and 37?
Studdy Solution
STEP 1
Assumptions1. Vanessa has already taken three quizzes with scores of45,32, and37 respectively.
. She will take one more quiz.
3. She wants an average score of at least40 across all quizzes.
STEP 2
First, we need to calculate the total score Vanessa has already achieved from the first three quizzes.
STEP 3
Now, plug in the given values for the scores of the first three quizzes to calculate the total score.
STEP 4
Calculate the total score Vanessa has already achieved from the first three quizzes.
STEP 5
Now that we have the total score from the first three quizzes, we can calculate the total score Vanessa needs to achieve an average of40 over four quizzes. This can be done by multiplying the desired average score by the number of quizzes.
STEP 6
Plug in the values for the desired average score and the number of quizzes to calculate the required total score.
STEP 7
Calculate the required total score Vanessa needs to achieve an average of40 over four quizzes.
STEP 8
Now that we have the required total score, we can calculate the minimum score Vanessa needs to earn on her fourth quiz. This can be done by subtracting the total score she has already achieved from the required total score.
STEP 9
Plug in the values for the required total score and the total score to calculate the required score on the fourth quiz.
STEP 10
Calculate the minimum score Vanessa needs to earn on her fourth quiz.
Vanessa needs to score at least46 on her fourth quiz to achieve an average of40.
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