Bill launched a model rocket, and estimated its height h, in feet, after 1 seconds. His results are shown in the table.
Time to 1 2 3 4
Height, h 0 110 190 240 255
Bill's data can be modeled by the function h(t) = -16t2 + 128t.
Which value is the best prediction for the height of the rocket after 5.5 seconds?
A. 150 ft
B. 180 ft
C. 220 ft
D. 250 ft
E 260 ft

Respuesta :

Answer:

22ft

Step-by-step explanation:

Given the height of Bills modeled by the function h(t) = -16t^2 + 128t.

To get his height after 5.5secs, we will replace t with 5.5 a shown;

h(t) = -16t^2 + 128t.

h(5.5) = -16(5.5)^2 + 128(5.5)

h(5.5) = =-484+704

h(5.5) = 220ft

Hence his height after 5.5secs is 22ft

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