Chee is ordering a taxi from an online taxi service. She has to pay a flat charge just to order the taxi, and then has to pay per mile, depending on how far she travels. She wrote an equation to represent her total cost, y, equals, 1, point, 3, x, plus, 5y=1.3x+5, where yy represents the total cost in dollars and cents, and xx represents the number of miles she travels. What is the meaning of the yy-value when x, equals, 1x=1?

The equation provided is $ y = 1.3x + 5 $, where:

- $ y $ represents the total cost in dollars,
- $ x $ represents the number of miles traveled.

This equation is in the form of $ y = mx + b $, where:
- $ m = 1.3 $ is the cost per mile,
- $ b = 5 $ is the flat charge (the cost just to order the taxi, regardless of how far Chee travels).

Now, to find the meaning of the $ y $-value when $ x = 1 $:

1. Substitute $ x = 1 $ into the equation:
   \[
   y = 1.3(1) + 5
   \]
2. Calculate the total cost:
   \[
   y = 1.3 + 5 = 6.3
   \]

The $ y $-value when $ x = 1 $ is 6.3. This means that when Chee travels 1 mile, her total cost will be $6.30. This includes the $5 flat charge and the $1.30 charge for traveling 1 mile.

Would you like more details or have any questions?

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Here are 8 related questions for further exploration:

1. What would the total cost be if Chee travels 10 miles?
2. How would the equation change if the flat charge was increased to $7?
3. What is the meaning of the slope $ m = 1.3 $ in the context of this problem?
4. How much would Chee pay if she traveled 0 miles?
5. How can you graph this equation, and what does the y-intercept represent?
6. What would be the total cost for a 15-mile trip?
7. If Chee's total cost was $20, how many miles did she travel?
8. What would happen to the total cost if the per-mile charge was reduced to $1.00?

**Tip:** When analyzing linear equations in the context of real-world situations, always identify the slope and y-intercept to understand the rate of change and the starting value.

Explore how to calculate total cost using linear equations with an example. Learn how to use the equation y = 1.3x + 5 to determine the total cost when Chee travels a certain number of miles. Includes calculations and real-world applications. Suitable for Grades 6-8.

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