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# In a psychology school the grade of the students is determined by the

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Math Expert
Joined: 02 Sep 2009
Posts: 58445
In a psychology school the grade of the students is determined by the  [#permalink]

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04 Sep 2019, 00:59
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Difficulty:

25% (medium)

Question Stats:

91% (01:28) correct 9% (01:18) wrong based on 11 sessions

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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 Joeys grade at the end of the first year is 40, what will be his grade at the end of the third year?

A. 44.
B. 56.
C. 62.
D. 75.
E. 80.

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Re: In a psychology school the grade of the students is determined by the  [#permalink]

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04 Sep 2019, 02:17
the grade of the students is determined by the following method--

at the end of 1st year---grade = 2*age of the student

From then on---grade = 2*age of the student +$$\frac{1}{2}$$(grade from the previous year)

--Joeys grade at the end of 1st year = 40
2*age of student = 40
age of student-(at the end of 1st year) = 20

age of joey -(at the end of 2nd year) = 20+1 =21

--Joeys grade at the end of the 2nd year = 2*21 +$$\frac{1}{2}$$*40 = 42+20 = 62

age of joey -(at the end of the third year) = 21+1 = 22

--Joeys grade at the end of the 3rd year = 2*22 + $$\frac{1}{2}$$*62 = 44+31 = 75

Re: In a psychology school the grade of the students is determined by the   [#permalink] 04 Sep 2019, 02:17
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