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