Answer:
Step-by-step explanation:
Given:
Option a:
Down payment, Da = $200
Monthly fee, Ma = $50
Option B:
Down payment, Db = $500
Monthly fee, Mb = $25
Monthly fee, M = payment, P/number of months, n
Total cost, Pc = down payment, D + payment, P
Equating both options we have:
500 + 25 × n = 200 + 50 × n
500 + 25n = 200 + 50 n
25n = 300
n = 300/25
= 12 months
At 12 months, both payment options will be the same.
Answer: Zuhalie will have to rent the bikes for 12 months in order for the total cost of each option to become the same.
Step-by-step explanation:
In the first option.....call it option A, Zuhalie will need to pay an immediate down payment of $200 and then pay $50 each month. Now, let us use "m" to represent the number of months she will pay this $50 before the total cost of option A equals the cost of the alternative.
Again, she also has the option (say, option B) of making a down payment of $500 and then continue making $25 monthly payment. Let us also use "m" to represent the number of months she will pay this $25 before the cost of option B will equal the cost of option A.
So the total cost of option A for the period it equals the cost of option B is 200 + 50x and the total cost of option B for the period it equals the cost of option A is 500 + 25x. This will now lead us to the equation:
200 + 50x = 500 + 25x
50x - 25x = 500 - 200
25x = 300
x = 300/25
x = 12 months.
Therefore the total number of months that it will take before the cost of option A equals option B is 12 months.
