Get reliable answers to your questions at Westonci.ca, where our knowledgeable community is always ready to help. Get detailed and accurate answers to your questions from a community of experts on our comprehensive Q&A platform. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

A cab company charges according to the following rate chart. Which graph correctly represents the charges?

\begin{tabular}{|c|c|}
\hline \multicolumn{2}{|c|}{Cab Rates by Mile} \\
\hline Miles & Charge \\
\hline Flag drop fee (0 miles) & \[tex]$5.00 \\
\hline 0 \(\leq\) x \ \textless \ 10 miles & \$[/tex]1.00 per mile \\
\hline x [tex]\(\geq\)[/tex] 10 miles & \$2.00 per mile for each mile over 10 \\
\hline
\end{tabular}

Sagot :

To determine the charges for different distances traveled by a cab according to the given rate chart, let's follow the steps listed below.

### Rate Chart Explanation
1. Flag Drop Fee: There is an initial charge of [tex]$5.00, which is applicable even if no distance is traveled. 2. Rate for 0 to 10 Miles: For distances from 0 to less than 10 miles, an additional $[/tex]1.00 per mile is charged on top of the flag drop fee.
3. Rate for Over 10 Miles: For distances equal to or more than 10 miles, the rate changes. The charge is [tex]$1.00 per mile for the first 10 miles, and $[/tex]2.00 per mile for miles beyond 10.

### Calculating Charges at Specific Distances
We will calculate the charges for five example distances: 0 miles, 5 miles, 10 miles, 15 miles, and 20 miles.

#### 1. Distance: 0 miles
- Initial flag drop fee: [tex]$5.00 - Miles traveled: 0 mile × $[/tex]1.00/mile = [tex]$0.00 - Total Charge: $[/tex]5.00 + [tex]$0.00 = $[/tex]5.00

#### 2. Distance: 5 miles
- Initial flag drop fee: [tex]$5.00 - Miles traveled: 5 miles × $[/tex]1.00/mile = [tex]$5.00 - Total Charge: $[/tex]5.00 + [tex]$5.00 = $[/tex]10.00

#### 3. Distance: 10 miles
- Initial flag drop fee: [tex]$5.00 - Miles traveled: 10 miles × $[/tex]1.00/mile = [tex]$10.00 - Total Charge: $[/tex]5.00 + [tex]$10.00 = $[/tex]15.00

#### 4. Distance: 15 miles
- Initial flag drop fee: [tex]$5.00 - First 10 miles: 10 miles × $[/tex]1.00/mile = [tex]$10.00 - Additional 5 miles: 5 miles × $[/tex]2.00/mile = [tex]$10.00 - Total Charge: $[/tex]5.00 + [tex]$10.00 + $[/tex]10.00 = [tex]$25.00 #### 5. Distance: 20 miles - Initial flag drop fee: $[/tex]5.00
- First 10 miles: 10 miles × [tex]$1.00/mile = $[/tex]10.00
- Additional 10 miles: 10 miles × [tex]$2.00/mile = $[/tex]20.00
- Total Charge: [tex]$5.00 + $[/tex]10.00 + [tex]$20.00 = $[/tex]35.00

### Summary of Charges
The charges for the distances 0, 5, 10, 15, and 20 miles are:

- 0 miles: [tex]$5.00 - 5 miles: $[/tex]10.00
- 10 miles: [tex]$15.00 - 15 miles: $[/tex]25.00
- 20 miles: [tex]$35.00 These charges can be graphically represented as points on a graph where the x-axis represents the distance in miles, and the y-axis represents the total charge in dollars. ### Visual Representation - At 0 miles, point (0, 5) - At 5 miles, point (5, 10) - At 10 miles, point (10, 15) - At 15 miles, point (15, 25) - At 20 miles, point (20, 35) These points should appear as a piecewise linear graph, with the first segment from (0, 5) to (10, 15) showing a gentler slope (rate $[/tex]1.00 per mile) and the second segment from (10, 15) to (20, 35) being steeper (rate $2.00 per mile beyond 10 miles).
We appreciate your time. Please come back anytime for the latest information and answers to your questions. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.