The distance from the bottom of the wheel to a point on the ground can be expressed using the sine function h(t) = a*sin(kt) + b, where b represents the height of the wheel at 4m. The radius a is calculated as 50/2 = 25m. Since it takes 6 minutes for 3 complete rotations, the period can be derived from 2π/k, giving us k = π. Thus, h(t) = 25*sin(π*t) + 4.
Sample Answer: No, Ingrid's statement is incorrect. In this situation, the starting point is at 170 feet, which denotes the y-intercept. The reduction of 4 feet per year symbolizes the rate of change, or slope. In the slope-intercept equation format, y = mx + b, with 'm' denoting the slope and 'b' signifying the y-intercept, the accurate equation would be y = −4x + 170.
