The given function is:
P = 0.04x + 0.05y + 0.06(16-x-y)
To get the function at each vertex, all you have to do is substitute with the given x and y values in the above equation and get the corresponding value of P as follows:
1- For (8,1):
P = 0.04x + 0.05y + 0.06(16-x-y)
P = 0.04(8) + 0.05(1) + 0.06(16-8-1)
P = 0.79
2- For (14,1):
P = 0.04x + 0.05y + 0.06(16-x-y)
P = 0.04(14) + 0.05(1) + 0.06(16-14-1)
P = 0.67
3- For (3,6):
P = 0.04x + 0.05y + 0.06(16-x-y)
P = 0.04(3) + 0.05(6) + 0.06(16-3-6)
P = 0.84
4- For (5,10):
P = 0.04x + 0.05y + 0.06(16-x-y)
P = 0.04(5) + 0.05(10) + 0.06(16-5-10)
P = 0.76
Hope this helps :)
As we project the following problem, we can see that the runner is forming a triangle when we try to connect the final stop and the initial stop of the runners. In this case, the resultant is 10 kilometers and the x-axis component is 8 km, that is the y-component should be square root of 100-64 equal to B. 6 km
Answer: 4 to 10 then it’s 6 to 20 then it’s 8 to 25 Then it’s 10 to 30 then it’s 12 to 35 I hope this is the answer
Step-by-step explanation:
Speed is equal to distance over time.
distance (mi) time (min) speed
2 10 2/10 = 0.20 mi/min
4 20 4/20 = 0.20 mi/min
6 45 6/45 = 0.13 mi/min
10 50 10/50 = 0.20 mi/min
8 60 8/60 = 0.13 mi/min
11 60 11/60 = 0.18 mi/min
12 70 12/70 = 0.17 mi/min
15 90 15/90 = 0.17 mi/min
Based on the scatter plot, he initially had a speed of 0.20 mi/min but the longer he travels the lower his speed is. His last speed based on the graph is 0.17 mi/min.