Problems 19-23 use the following scenario: A design engineer is measuring the drag force (i.e., the
force resisting motion) on a robotic submarine. As the submarine moves through the water at v
meters per second m
it experiences a drag force of F newtons (N). The table below represents
the design engineer's measurements.
Drag Force vs. Speed
Speed (in
8
10
m
F Drag Force (in N)
720
1100
The drag force can be modeled by a quadratic equation of the form F=bv+cv².
IVE
n.
19. Using (8, 720), create an equation in terms of b and c.
720=6(8) + C² (8) ²
20. Using (10, 1100), create an equation in terms of b and c.
720= 8b+ C4 C
1100=b (10) + c(10) ²
1100 = 10b + 1979 an
21. Solve the system of equations from #19 and # 20 for b and c.
720 = 8b+ Cec
2. Write a function F which serves as a model for profit.
1100-106+100c
What value of speed, in meters per second, corresponds a drag force of 120N? Includ
your answer.