In a psychology school the grade of the students is determined by the following method: At the end of the first year the grade equals to twice the age of the student. From then on, the grade is determined by twice the age of the student plus half of his grade from the previous year. If Joey’s grade at the end of the first year is 44, what will be his grade at the end of the third year?
Choose the correct choice from the following
A) 44	B) 56	C) 82	D) 75	E) 80
Cool question!   There's a lot of information given here, so let's eat slow here.   Joey scores a 44 at the end of his first year. That means that he's currently 22 years old (since given per instruction, after the first year one's grade is determined by doubling his/her age).   Now, come next year, or his second year at this psychology school, he's technically 23 years old. To find out the second year's grade, we want to double his age PLUS half of his previous grade.   Well, his second year is then going to be 23(2) + 22 = 68.   Now let's tackle the main question: what's his grade going to be the third year?   Well, he will be at an age of 22 on his third year at this school. Again, to find out his third year's grade, you're going to double his age (24x2), plus half of his previous year's grade (as calculated for his second year, his grade is 68; therefore, 68/2)   Having said that, the final answer would be 24(2) + 68/2 = 48 + 34= 
<gadget id="calculator">48 + 34</gadget>
<output>82</output>
82 --&gt; (82)
<result>C</result>
In a psychology school the grade of the students is determined by the following method: At the end of the first year the grade equals to twice the age of the student. From then on, the grade is determined by twice the age of the student plus half of his grade from the previous year. If Joey’s grade at the end of the first year is 44, what will be his grade at the end of the third year?