Question

1. reinforce dominics math grade is determined by the points he earns on tests and quizzes. it is calculated as the percentage of points earned out of the total points possible. he scores 30 out of a possible 30 points on the first quiz, so at this point his grade is $\frac{30}{30}=100\\%$.

a. on the next quiz, dominic earns 70% out of a total of 50 possible points. calculate dominics grade in the course after the second quiz.

Explanation:

Step1: Calculate points earned on the second quiz

The formula for calculating points earned is \( \text{Points Earned}=\text{Percentage}\times\text{Total Points} \).
Given percentage \( p = 70\%=0.7 \) and total points \( t = 50 \).
So, points earned \(=0.7\times50 = 35\)

Step2: Calculate total points earned and total possible points

Total points earned \(=30 + 35=65\)
Total possible points \(=30+50 = 80\)

Step3: Calculate the grade

The grade formula is \( \text{Grade}=\frac{\text{Points Earned}}{\text{Total Possible Points}}\times100\% \)
Substitute the values: \( \text{Grade}=\frac{65}{80}\times100\% \)
\( \frac{65}{80}\times100\%=\frac{6500}{80}\%=81.25\% \)

Answer:

\(81.25\%\)