To create a table of equivalent ratios based on Gianna's drive of 146 miles in 4 hours, we can find the ratio of miles to hours. The ratio can be simplified to miles per hour.
First, let's calculate Gianna's rate:
\[ \text{Rate} = \frac{\text{Miles}}{\text{Hours}} = \frac{146 \text{ miles}}{4 \text{ hours}} = 36.5 \text{ miles per hour} \]
Now, we can create a table of equivalent ratios using this rate. For simplicity, let's use whole number hours, and we can calculate how many miles she would drive at various times at the same rate.
| Hours | Miles | |-------|--------| | 1 | 36.5 | | 2 | 73 | | 3 | 109.5 | | 4 | 146 | | 5 | 183.5 |
Next, let’s summarize what the plotted points would look like on a coordinate graph with the x-axis representing hours and the y-axis representing miles.
The points to plot are:
- (1, 36.5)
- (2, 73)
- (3, 109.5)
- (4, 146)
- (5, 183.5)
You can plot these points on a coordinate plane where the x-axis represents "Hours" and the y-axis represents "Miles."
- Start with (1, 36.5): Plot this point slightly below 37 on the y-axis.
- (2, 73): This will be a little less than 75.
- (3, 109.5): Plot this point slightly below 110.
- (4, 146): This will be slightly below 150.
- (5, 183.5): This will be slightly below 185.
The line connecting these points will help illustrate the linear relationship between time and distance driven.
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