Roy wants to buy a new wireless phone for $200. Two stores offer different payment options.

Question

Which plan has the best plan?

Store A payment plan
6,0
5, 25
4, 50
3, 75
2, 100
1, 125
0,150
or
Store B payment plan
pay $50 at the time of purchase. pay $20 per month until the phone is paid for

Answer 1

Let's calculate the total payment for each store's payment plan.

Store A Payment Plan: The payment amounts given seem to indicate how much Roy would pay over various time periods (presumably in months), but it's unclear without specifying how to interpret those. However, assuming you pay one of these amounts for a one-time payment:

1. Pay $200 at once: $200
2. Pay $150 upfront and then $ (not clear).
3. Pay $125, ..., (the remaining likely suggests a payment schedule).

To clarify, if we pay progressively depending on how far you go with the payments, it's unclear how the exact terms play out here.

Store B Payment Plan: Pay $50 at the time of purchase and then $20 per month. To calculate the total payment:

• Initial payment: $50
• Monthly payment of $20, where \( x \) is the number of months until reaching $200.

Total paid after \( x \) months: \[ 50 + 20x \]

To find how many months it takes to reach $200:

Setting the equation equal to $200: \[ 50 + 20x = 200 \] \[ 20x = 200 - 50 \] \[ 20x = 150 \] \[ x = 7.5 \]

This implies it will take 7 and a half months to reach a total of $200.

In terms of monthly payments:

• If Roy pays $20 for 7 months, that totals $140.
• After 7 months, he would have already paid $190.
• The additional 0.5 months (assuming he pays half the monthly fee) would be $10.
• Thus total with Store B sums up to $50 + $140 + $10 = $200.

So, in terms of the specifics of the payment plan for Store A, we cannot definitively assess which is better. To accurately compare, you need to clarify the terms or amounts (what $6.0, $5.25 etc., correspond to in relation to total payment time).

Under the assumption that the lowest total payments indicate a better deal, based solely on Store B which sums up to $200 in total while still engaging in flexibility with time frames; it appears it's likely advantageous with affordable initial payments compared to likely lump sums reflected per each tier in Store A without defined periodicity.

For clarity, your best call should compare total payment amounts clearly, focusing on accumulated sums until the total bills first fully reach $200 in any definite structured time.