Bunuel wrote:

Elliot's allowance was just raised to k dollars per week. He gets a raise of c dollars per week every 2 years. How much will his allowance be per week y years from now? (Assume that y is a positive even integer).

(A) k + cy

(B) k + 2cy

(C) k + cy/2

(D) k + 2c

(E) ky + 2c

Choose somewhat spread out numbers.

k, allowance now = $4

c, raise every 2 years = $1

y, years =10

A raise every 2 years means 10/2 = 5 raises

5 raises * $1 per raise = $5 total

In 10 years Elliott will get ($4 + $5) = $9 per week

OR:

$4.. +2 years = $5

......+2 years = $6

......+2 years = $7

......+2 years = $8

......

+2 years = $9

....= 10 yrs

With k = $4, c = $1, y = 10, look for the answer that gives you $9

(A) k + cy: ($4 + $10) = $14. NO

(B) k + 2cy: REJECT. $14 from A, cy = 10, is too high. This answer is higher.

(C) k + cy/2: ($4 + 10/2) = ($4 + $5) = $9. MATCH

(D) k + 2c: ($4 + $2) = $6. NO

(E) ky + 2c: ($4 * 10) = $40. ...REJECT. $40 alone is too high

ANSWER C

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I was alive then.

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