Question

David wants to rent a bicycle for a couple of hours to explore the city. The price of the bike rental, (P)(P)left parenthesis, P, right parenthesis, depends on the time the bike was out, (t)(t)left parenthesis, t, right parenthesis. The price consists of a base charge of \$8$8dollar sign, 8 and a variable hourly cost. The graph of the function is shown below.
Complete the following sentences below based on the graph of the function.
The hourly charge is \$$dollar sign
per hour for the first 333 hours.
The rate then drops to \$$dollar sign
per hour until the end of the 6^{\textrm{th}}6
th
6, start superscript, start text, t, h, end text, end superscript hour.
The hourly rate drops further to \$$dollar sign
per hour between the 6^{\textrm{th}}6
th
6, start superscript, start text, t, h, end text, end superscript and 10^{\textrm{th}}10
th
10, start superscript, start text, t, h, end text, end superscript hours.
The maximum price of the bike rental is \$$dollar sign
.

Answer 1

Answer:

The hourly charge is $4 per hour for the first 3 hours.

The rate then drops to $2 per hour until the end of the 6th hour.  

The hourly rate drops further to $1 per hour between the 6th and 10th  hours.

The maximum price of the bike rental is $30.

Step-by-step explanation:

The slope of the graph corresponds to the hourly rate for the bike rental.

During the first three hours of the bike rental, the price increases by $4 each hour.

Between the 3rd  and 6 th hours, the slope of the graph is 2, which means the hourly rate of the bike rental is $2 per hour.

Between the 6th and 10th hours, the rate is $1 per hour.

After the 10th  hour, the price, P, stops increasing. The maximum price of the bike rental is $30.