Answer:
Neither option A nor option B will allow them to meet their goal.
Step-by-step explanation:
Consider the provided information.
The Polleys want to put in a swimming pool next summer. They need to save $6,000 over 12 months in order to achieve this goal.
They set aside the same amount each month and after 7 months discovered they have saved $3,100. Now he left with 5 months (∴7+5=12 months)
Let x is the amount he was saving each month. He saved x amount for 7 months and after 7 months he has $3100.
[tex]7x=3100[/tex]
[tex]x=442.86[/tex]
He saved approximately $442.86 each month.
Option A Save the original amount each month but put the pool in one month later than originally planned.
That means the number of month he has now 5+1=6.
Now find how much he can save in 6 months if he save $442.86 per month.
6×442.86=2657.16
Now add his all savings as:
$3100+$2657.16=$5757.16
Thus, the option A will not allow him to meet his goal.
Now consider the option B) Increase savings each month by $100 from their original plan.
Previously he was saving $442.86 each month now increase this number by $100.
$442.86+$100=$542.86
In 5 months he can save:
5×542.86=$2714.3
Now add his all savings as:
$3100+$2714.3= 5814.3
Thus, the option B will not allow him to meet his goal.
