1. In a certain course, grades are based on three tests worth 100 points each, three quizzes worth 50 points each, and a final exam worth 200 points. A student has test grades of 91, 82, and 88, and quiz grades of 50, 42, and 42. What is the lowest percent the student can get on the final and still earn an A (90% or more of the total points) in the course

95%

Step-by-step explanation:

Three tests worth 100 points each = 3 X 100 = 300 points

Three quizzes worth 50 points each = 3 X 50 =150 points

Final exam worth 200 points

Total Obtainable Points=300+150+200=650

Total of test grades obtained (91, 82, and 88)=91+82+88=261

Total of quiz grades (50, 42, and 42) obtained = 50+42+42=134

Let x be the exam score for the student to obtain 90%

Therefore:

The lowest score a student can score is 190.

Expressed as a percentage of 200,

per cent

The student must score a minimum of 95% in order to make an A.

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).

correct

step-by-step explanation: