Question

A bus ride for a senior citizen cost $1.25. A monthly pass costs $35. Write and inequality that represents the number of times a senior citizen must ride the bus for the monthly pass to be a better deal.

Answer 1

Answer:

$1.25x > $35

x > 28

Step-by-step explanation:

An inequality is a type of equation where we use symbols such as greater than (>) and less than (<) to solve for a variable that can multiple answers.  In this case, we are looking for the number of times a senior citizen must ride the bus in one month for the $35 monthly pass to be a better deal.  So, the number of times the citizen rides times the cost of each bus ride must be greater than the cost of the montly pass:

$1.25x > $35, where 'x' represents the number of bus rides

If we solve for 'x' by dividing both sides by $1.25, than we know that x > 28, or that the senior citizen must ride the bus more than 28 times in the month for the monthly pass to be a better deal.