https://file.aiquickdraw.com/mathbot/file/1726095839264klwxxdk3.jpg

The equation for the cost of a taxi ride is given by:

\[
C(x) = 2x + 2.00
\]

where $ x $ represents the number of minutes.

### Step 1: Analyze the equation
This is a linear equation in slope-intercept form, $ y = mx + b $, where:

- $ m = 2 $ (the slope, meaning the cost increases by $2 per minute),
- $ b = 2.00 $ (the y-intercept, which is the initial cost when $ x = 0 $).

### Step 2: Graph the equation
- The y-intercept is at $ (0, 2) $, meaning that at 0 minutes, the cost is $2.00.
- The slope is 2, so for every 1 unit increase in $ x $ (minutes), the cost increases by $2.00.

We can plot points like:
- When $ x = 0 $, $ C(0) = 2(0) + 2 = 2 $,
- When $ x = 1 $, $ C(1) = 2(1) + 2 = 4 $,
- When $ x = 2 $, $ C(2) = 2(2) + 2 = 6 $.

### Step 3: Compare with the given options
Looking at the four graphs in the image:

- The correct graph should show a straight line starting at $ (0, 2) $ and increasing by 2 units of cost for every additional minute.
- The axes should be labeled as "Minutes" on the horizontal axis and "Cost" on the vertical axis.

### Conclusion:
The graph that matches this description is **option D**.

The line starts at $ (0, 2) $ and follows a slope of 2, with correct axis labels "Minutes" and "Cost."

---

Would you like further details or have any questions?

Here are 5 related questions to think about:
1. How would the graph change if the base cost was $3 instead of $2?
2. What would happen to the graph if the cost per minute increased to $3 per minute?
3. How can you find the slope of a line directly from a graph?
4. What is the significance of the y-intercept in real-world scenarios like this?
5. How would you calculate the total cost after 10 minutes?

**Tip:** Always check the slope and intercept when graphing a linear equation—they define the key features of the graph!

The cost, C(x), for a taxi ride is given by C(x) = 2x + 2.00, where x is the number of minutes. On a piece of paper, graph C(x) = 2x + 2.00. Then determine which answer matches the graph you drew, including the correct axis labels.

Learn how to graph the linear equation C(x) = 2x + 2.00 to represent the cost of a taxi ride. This problem explains how to use the slope-intercept form, graph key points, and determine the correct axis labels for a beginner-friendly introduction to graphing equations. Suitable for Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation