Mike and kate plan to save money for their wedding over a 20 month period. they will need to save $8,000 to pay for the wedding. they set aside the same amount each month. after a year they saved $4,000. mike and kate know they must adjust their plan in order to meet their goal, so they came up with the following options: option a: stay with saving the same amount they've been saving each month but postpone the wedding 2 months. option b: increase the amount of money they save each month by $80 from what they've been saving. which of the following is a true statement? a. only option a will allow them to meet their goal. b. only option b will allow them to meet their goal. c. both options a and b will allow them to meet their goal. d. neither option a nor option b will allow them to meet their goal.

Option A.

We are given that they only save $4,000 for 12 months. Therefore the savings per month is:

Savings per month = $4,000 / 12 months

Savings per month = $333.33 per month

So if they postpone their wedding for 2 months, therefore the total saving period becomes 22 months. Hence the total amount saved is:

Total amount saved = ($333.33 / month) * 22 months

Total amount saved = $7,333.33

Option B.

The plan is to increase the savings per month by $80, therefore this becomes:

Savings per month = $333.33 + $80

Savings per month = $413.33

For the remaining 8 months, they can save:

Savings for remaining 8 months = ($413.33) * 8

Savings for remaining 8 months = $3306.64

The total amount saved is:

Total amount saved = $4,000 + $3306.64

Total amount saved = $7,306.64

So no option give us $8,000, hence the answer is:

d. Neither option A nor option B will allow them to meet their goal.

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