Kaylee drove her scooter at an average speed of 15 miles per hour. Sophia drove her scooter at an average speed of 10 miles per
hour. They drove a total of 60 miles in 5 hours. This situation can be represented with the system x+y=5 and 15x+10y=60 , where x represents the number of hours Kaylee drove her scooter and y represents the number of hours Sophia drove her scooter. Solve the system of equations by graphing. Graph both equations on the coordinate plane even if they represent the same line.
Kaylee drove her scooter for 2h and Sophia drove her scooter for 3h.
Step-by-step explanation:
From the graph shown below, we can see that the intersection point is (2,3). When using the graphing method to solve a system of equations, the intersection point is the answer. In this case, x = 2 and y = 3.
Thus, Kaylee drove her scooter for 2h and Sophia drove her scooter for 3h.
For this case, what we should do is evaluate the function for different points within the range shown. We then have the following table: x g(x) -2 -9 -1 3 0 7 1 3 2 -9 3 -29 4 -57 From where we observed that the average rate of change is: -13 Answer: the average rate of change of g over the interval [-2,4] is: -13
