You ride an express bus from the center of town to your street. You have two payment options. Option A is to buy a monthly pass for $30 and pay $0.80 per ride, r. Option B is to pay $2.30 per ride. Write an equation to show after how many rides the cost will be the same.

Step-by-step explanation:

Let x represent the number of miles after which the cost of both options will be the same.

You have two payment options. Option A is to buy a monthly pass for $30 and pay $0.80 per ride. This means that the total amount that you would pay for x miles if you use this option is

0.8x + 30

Option B is to pay $2.30 per ride. This means that the total amount that you would pay for x miles if you use this option is

2.3x

An equation to show after how many rides the cost will be the same would be

0.8x + 30 = 2.3x

2.3x - 0.8x = 30

1.5x = 30

6163.2 years

Step-by-step explanation:

The formula we use for evaluating the C 14 decay is

Where

=Amount of C 14 after “t” year

= Initial Amount

t= No. of years

k=constant

In our problem we are given that is 54% that is if ,

Also , k=0.0001

We have to find t=?

Let us substitute these values in the formula

Taking log on both sides to the base 10 we get

t=6163.20 years