Question

6. Kayla is planning to buy a new phone. Rongers charges $0 for down payment plus $127 monthly fee. Fidoll charges $363 for down payment plus $94 monthly fee.
a) When will the two plans charge the same amount (the same number of months for both plans)?
b) If both plans are contracted for 2 years (24 months), which plan would you recommend to Kayla? Explain.​

Answer 1

The two plans charge the same amount in 11 months.

The plan I would recommend if the plans are contracted for two months is the Fidoll plan.

When will the two plans charge the same amount?

The equation that represents the amount that would be paid by Kayla if she buys the phone from Rongers is : $127x

Where x represents the number of months

The equation that represents the amount that would be paid by Kayla if she buys the phone from Fidoll  is : $363 + $94x

Where x represents the number of months

The two above equations would be equal when the plan charge the same amount: $363 + $94x = $127x

Combine similar terms

$363 = $127x - $94x

Add similar terms

$363 = $33x

Divide both sides by 33

x = 11 months

Which plan would be recommended if the plan is for 2 years?

Rongers: $127(24) = $3,048

Fidoll = $363 + $94(24) = $2619

I would recommend the Fidoll plan

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