To create a table of equivalent ratios based on Rashaad's fuel consumption rate, multiply the initial ratio of 5 gallons per 185 miles by various numbers to obtain equivalent ratios. These ratios can then be plotted on a coordinate plane, with gallons on the x-axis and miles on the y-axis.
Rashaad's car has a fuel consumption rate of 5 gallons of gas for 185 miles. To create a table of equivalent ratios, we need to find multiples of this rate. Here's the step-by-step explanation:
Start with the given ratio: 5 gallons/185 miles.
To find equivalent ratios, multiply both the gallons and the miles by the same number to find other combinations that represent the same rate of consumption.
For example, if we multiply both by 1, we get 5 gallons/185 miles. If we multiply both by 2, we get 10 gallons/370 miles, and so on.
Table of Equivalent Ratios:
Gallons Miles
5 185
10 370
15 555
20 740
To plot these points on a coordinate plane:
Label the x-axis as 'Gallons of Gas' and the y-axis as 'Miles Driven'.
Each point will be plotted by using the gallons as the x-coordinate and the miles as the y-coordinate. For example, plot (5, 185), (10, 370), etc.