Answer:
Apartment A will cost more than Aparment B after 2 months which means from the third month and above, Apartment A will cost more than Aparment B
Step-by-step explanation:
Write
Let the number of months be represented as y
Apartment A has a $300 security deposit and costs $800 each month.
$300 + $800 × y
300 + 800y
Apartment B has a $900 deposit and costs $500 each month
$900 + $500 × y
900 + 500y
An inequality to determine when Apartment A will cost more than Aparment B :
Apartment A > Apartment B
300 + 800y > 900 + 500y
300 + 800y = 900 + 500y
Collect like terms
800y - 500y = 900 - 300
300y = 600
y = 600/300
y = 2 months
Therefore Apartment A will cost more than Aparment B after 2 months which means from the third month and above, Apartment A will cost more than Aparment B
