Question

The CBGC pays college and high school students $5.75 per hour to tutor the younger boys and girls. If one of those tutors works 3.4 hours on Monday and 2.7 hours on Thursday, what will the tutor earn for the week? Type here If the Club has a tutoring budget of $250 per week, how many tutoring hours can be provided? Type here Dany is tutoring Abe. Below are the results of two check-up quizzes. Write the score of Abe's first quiz (21 out of 30) as a percent. Type here Abe is pleased with his improvement on the second check-up. He says he has made a 10% improvement. Danny says the new score is not a 10% increase over the old score. Who is correct? Explain. Type here Abe now has 45 out of a total of 60 points on check-up quizzes. There is one more quiz to come in this Unit. It is out of 30 points. What does he have to score on the last quiz to raise his check-up quiz grade to 80% overall? Explan

Answer 1

1. $35.075

2. 43.5 hours

3. 70%

4. Danny is correct

5. Abe's score out of the 30 points of the last quiz to get an overall checkup quiz grade of 80% should be 28.5

Explanation:

The pay per hour for student tutors = $5.75

1. A tutor who worked 3.4 hours on Monday and 2.7 hours on Thursday has worked, 3.4 + 2.7 = 6.1 hours for the week, therefore

The week earning for the tutor = 6.1 × 5.75 = $35.075

2. The Club's tutoring budget per week = $250

The number of tutoring hours that can be provided per week is given by the relation;

`(The \, Club's \ tutoring\ budget \ per \, week)/(The \, pay \ per \, hour\, for\, student\, tutors) = (\$250)/(\$5.75/hour) = 43.47826 \approx 43.5 \, hours`

3. The score of 21 out of 30 as a percentage is given as follows;

`(21)/(30) * 100 = 70\%`

4. Where the second score is 45 out of a total of 60 points, we have;

`(45)/(60) * 100 = 75\%`

Therefore, the increase in Abe's score is 5%, therefore, Danny is correct

5. To raise his checkup quiz grade to 80% overall, then we should have;

`(70 + 75 + Q)/(300) =(80)/(100)`

Where:

Q = The percentage grade of the last quiz

(145 + Q)×100 = 80×300 = 24000

145 + Q = 240

Q = 240 - 145 = 95%

Therefore, he has to score, 95% of 30 on the last quiz, which is thus;

`(95)/(100) * 30 = 28.5`

Abe's score out of the 30 points of the last quiz to get an overall checkup quiz grade of 80% = 28.5 points.