Question

A monthly transit pass costs $55.The regular price of each ride is $1.60. Write and solve an inequality to determine the least number of rides, that it would make sense to buy the monthly pass.

Answer 1

The least number of rides to make sense to buy the monthly pass is 35

Solution:

Given that monthly transit pass costs $55

The regular price of each ride is $1.60

Cost of 1 ride = $ 1.60

To find: Inequality to determine the least number of rides, that it would make sense to buy the monthly pass

Let "x" be the number of rides

From given information, we can frame a inequality as:

`\text{ number of rides } * \text{ Cost of 1 ride } \geq 55`

Here we use greater than or equal to 55 . Since $ 55 is required to buy the monthly pass

`x * 1.60 \geq 55\\\\1.60x \geq 55`

Thus the required inequality is found.

Let us solve the above inequality for "x"

`1.60x \geq 55\\\\x \geq (55)/(1.60)\\\\x\geq 34.375`

Therefore, least number of rides to make sense to buy the monthly pass is 35