Answered

Looking for answers? Westonci.ca is your go-to Q&A platform, offering quick, trustworthy responses from a community of experts. Experience the convenience of getting accurate answers to your questions from a dedicated community of professionals. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

The taxi fare in a town is ₹ 10 for the first kilometer and ₹ 6 per km for the subsequent distance. Taking the distance as [tex] x \, \text{km}[/tex] and the total fare as [tex] z[/tex], write a linear equation for this information. What will be the total fare for 15 km?

Sagot :

GinnyAnswer
Sure! Let's write a linear equation for the given taxi fare information and then calculate the total fare for a 15 km journey.

### Taxi Fare Structure

1. The fare for the first kilometer is ₹ 10.
2. The fare for each subsequent kilometer is ₹ 6.

Given:
- Distance traveled [tex]\( x \)[/tex] km
- Total fare [tex]\( z \)[/tex]

The linear equation for fare calculation can be written as:
[tex]\[ z = 10 + 6(x - 1) \][/tex]

Here, [tex]\( 10 \)[/tex] is the fare for the first kilometer, and [tex]\( 6(x - 1) \)[/tex] is the fare for the subsequent kilometers.

### Calculating the Total Fare for 15 km

1. Distance traveled: [tex]\( x = 15 \)[/tex] km
2. Plug this value into the equation:

[tex]\[ z = 10 + 6(15 - 1) \][/tex]

3. Simplify the equation step-by-step:
- Calculate the subsequent distance: [tex]\( 15 - 1 = 14 \)[/tex] km
- Calculate the fare for the subsequent distance: [tex]\( 6 \times 14 = 84 \)[/tex]
- Add the fare for the first kilometer: [tex]\( 10 + 84 = 94 \)[/tex]

### Final Result

The total fare for a 15 km journey is ₹ 94.
Thanks for using our platform. We're always here to provide accurate and up-to-date answers to all your queries. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.