Question

Scientists determined that the rate y (in calories per minute) at which you use energy while walking can be modeled by y = .00849x2 - 1.5316x + 120.375. The variable x represents your walking speed in meters per minute. Do some research to figure out an interval of speed a person your age can walk within normal limits. Graph the function on the domain you have specified for your interval. Use the quadratic formula to identify the x-intercepts. What do they mean? Use the discriminant to explain your answer. Identify the vertex. What do the x-value and the y-value in the vertex represent? What is the axis of symmetry? What is the direction of opening? +

Answer 1

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quadratic Given equatan, yo 0.00849x21:5376x +120.375. variable ix represents coalking speca in meter per minut. oty i is : walking is for speed is boom -d to a Graph. & Domain 2,D) ay -250 200 150 flos 250 too go -60 -40-20 T 20 uo Yo to ->a Too 80 12 J -100 -150 -200 120.375 To find x-intercepts Discriminad 64-uac = 61.53192-97 odopuest 62-uac = -1.7420 Hence it ho don't have any x-intercepts 6²_uac co. No-tax-intercepts To find verter, ybo 260.00049912 1:5316=0 X2190 200 23557

y (90.20023557) = 51.29965959 Vertex (x,y) = 90. 20023557, 5)- 29969999) minimum speed in In verter blo reprosats A meter per minect. "ý represents the, the rate of calories for minimum walking speed Aus of symmetatry x=190. 20023557 The parabola is opening upward because as 0.00f49 70