6
QuizMultiple Choice

Summation Notation

Question 6 • Precalculus

Food costs are expected to rise 6% each month for the next year. Which series correctly depicts the cost (to the nearest cent) for the next three months if the current cost is $150 per month?

Answer
A
$150.00 + $159.00 + $168.00
B
$150.00 + $159.00 + $168.54
C
$159.00 + $168.00 + $177.00
D
$159.00 + $168.54 + $178.65

Explanation

Each month’s cost is 6% higher than the previous month, so multiply by 1.06 each time. The next three monthly costs are $150 × 1.06 = $159.00, then $159.00 × 1.06 = $168.54, and then $168.54 × 1.06 = $178.6524, which rounds to $178.65. Therefore, the correct series is $159.00 + $168.54 + $178.65, choice D.

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