The cost of renting a kayak is proportional to the number of hours, with a cost per hour of $9. The point (3, 27) on the graph illustrates the given scenario where it costs $27 to rent a kayak for 3 hours.
The connection between the cost of renting a kayak (y) and the number of hours rented (x) is considered proportional, indicating a linear correlation. In this context, we have a specific data point: renting a kayak for 3 hours costs $27. We can utilize this information to establish a linear equation in the form "y = mx," where "m" is the constant of proportionality or the cost per hour.
Assuming the cost per hour is represented as "m," we can set up the equation "27 = 3m" based on the given data point, where 3 is the number of hours, and "m" is the cost per hour. Solving for "m," we find that "m = 9." Consequently, the equation representing the relationship is "y = 9x."
To plot the points on the graph, we consider the provided data point (3, 27), where "x" is the number of hours, and "y" is the cost. When "x = 3," "y = 9 * 3 = 27." This point (3, 27) is plotted on the graph.
The question probable may be:
The cost y in dollars to rent a kayak is proportional to the number x fo hours that you rent the kayak. it costs 27$ to rent a kayak for 3 hours.plot these two points on the graph. explain your thinking