Final Answer:
c. 24 units because Jaquan uses 24 units of water for six cars, as indicated by the graph's linear relationship.
Step-by-step explanation:
The given coordinate plane represents the relationship between the number of cars washed by Jaquan and the amount of water used. To find out how much water Jaquan uses for six cars, locate the point on the graph where the x-coordinate is 6. From the graph, it appears that when x = 6, the corresponding y-coordinate is 24. Therefore, Jaquan uses 24 units of water for six cars.
The graph illustrates a linear relationship between the number of cars and the amount of water used, where the slope of the line represents the rate of water usage per car. In this case, the slope is consistent, indicating a constant rate of water usage. The y-intercept, which is the point where the line intersects the y-axis, represents the initial amount of water used when no cars are washed. In this context, it seems that the initial amount is 6 units.
To generalize, the relationship between the number of cars (x) and the amount of water used (y) can be expressed by the equation y = mx + b, where m is the slope (rate of water usage per car) and b is the y-intercept (initial amount of water). Therefore, for Jaquan's car washing activity, the equation is y = 3x + 6, where 3 is the constant rate of water usage. Substituting x = 6 into the equation, we get y = 3 * 6 + 6 = 24, confirming our final answer.