Write the word or phrase that best completes each statement or answers the question.
Solve the problem.
-During the first five months of the year, Len earned commissions of $2,620, $2,070, $3,510, $2,360, and$3,470. If Len must have average monthly earnings of at least $2,910 in order to qualify for retirementbenefits, what must he earn in the sixth month in order to qualify for benefits?
A)at least $3,430
B)at least $2,823
C)at least $2,910
D)at least $2,806

Question

Quizplus · Accepted Answer

To find out what Len must earn in the sixth month to meet the minimum average monthly earnings for retirement benefits, we can use the formula:
(total earnings for 6 months) / 6 >= $2,910
Simplifying this equation, we get:
(total earnings for 6 months) >= $17,460
If we add up Len's earnings for the first five months, we get:
$2,620 + $2,070 + $3,510 + $2,360 + $3,470 = $14,030
To figure out how much Len must earn in the sixth month to meet the minimum average, we can subtract his total earnings for the first five months from the total amount needed for six months:
$17,460 - $14,030 = $3,430
Therefore, Len must earn at least $3,430 in the sixth month to qualify for retirement benefits with an average monthly earning of at least $2,910. Choice A is the only option that meets this requirement. To find out how much Len needs to earn in the sixth month to have an average monthly earning of $2,910, we can use the formula:

Total earnings / Number of months = Average monthly earning

Plug in the given information:

($2,620 + $2,070 + $3,510 + $2,360 + $3,470 + x) / 6 = $2,910

Simplify and solve for x:

$14,030 + x = $2,910 * 6
$14,030 + x = $17,460
x = $3,430

Therefore, Len must earn at least $3,430 in the sixth month to have an average monthly earning of $2,910 and qualify for retirement benefits. Choice A is the best choice.

Write the Word or Phrase That Best Completes Each Statement