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.

The answers are zero and 5.
The average rate of change of the population of deer over the interval [2,4] is the ratio of the difference in the population as it changes from year 2 to 4 to the difference between the independent variable time:
     average rate of change = p(t2)-p(t1) / t2-t1
                                           = 850-850 / 4-2
                                           = 0
To determine the interval with -300 average rate of change, we use the equation for the average rate of change above and the values in the table. Substituting the values into the equation, we have-300 = 100-p(t1) / 7-x1According to the values in the table, we have -300 average rate of change over the interval [5,7]:
     average rate of change= 100-700 / 7-5
                                          = -600 / 2
                                          = -300