Answer:
The system of equations is
(1) Amount balance to buy the motorcycle = Cost of motorcycle - Balance in savings
(2) Number of months Felix would need to make up the amount balance to buy the motorcycle = When Felix will have enough money to completely pay for his motorcycle
(3) Number of months Felix would need to make up the amount balance to buy the motorcycle = When Felix will have enough money to completely pay for his motorcycle
(4) The period it will take for Felix to have enough money to completely pay for his motorcycle is 8 months
Step-by-step explanation:
Here we have
Balance in savings = $1,000
Amount available to Felix each month = $500
Amount balance to buy the motorcycle = Cost of motorcycle - Balance in savings
= $5,000 - $1,000 = $4,000
Number of months Felix would need to make up the amount balance to buy the motorcycle = When Felix will have enough money to completely pay for his motorcycle
The above is given by
Number of months = Amount balance to buy the motorcycle ÷ Amount available to Felix each month
∴ Number of months = $4,000 ÷ $500 = 8 Months
That is Felix will have enough money to pay for his motorcycle in 8 months.