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spayn
1 month ago
5

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
.
Mathematics
1 answer:
babunello [11.8K]1 month ago
6 0

Answer:

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

Subsequently, the rate decreases to $2 per hour until the sixth hour.

Between the sixth and tenth hours, the cost is reduced further to $1 per hour.

The maximum charge for renting the bike is $30.

Step-by-step explanation:

The incline on the graph indicates the hourly rate for the bike rental.

During the initial three hours, the rental fee rises by $4 for each hour.

From the third to the sixth hour, the graph’s slope indicates a rate of $2 per hour for the rental.

The charge drops to $1 per hour from the sixth to the tenth hour.

After the tenth hour, the price, P, remains constant. The highest fee for the bike rental is $30.

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