Beth has $400 in the bank. She paid a start-up fee of $45 plus $3 every time she rides the bus. Write and solve an equation to determine how many times she can ride the bus.

The equation is: y=(x-45)/3 and Beth can ride the bus 118 times.

Step-by-step explanation:

From the information provided, the total cost of riding the bus is equal to the start-up fee plus the cost of each ride for the number of times Beth rides the bus:

x=45+3y, where x is the total cost of riding the bus and y is the number of times Beth rides the bus.

Now, you can solve for y and you can replace x with 400 that is the total amount Beth has:

x=45+3y

y=(x-45)/3

y=(400-45)/3

y=355/3

y=118

According to this, the answer is that the equation is: y=(x-45)/3 and Beth can ride the bus 118 times.