Can someone help me with these questions
1 answer:
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Answer:
a) T(t) = -13 +0.5t
b) D(t) = -4 -0.25t
c) 12 seconds
d) 7 feet
Step-by-step explanation:
a) The turtle starts at -13 feet and increases its elevation relative to the water's surface by 0.5 ft/second. After t seconds, the turtle will be 0.5t feet closer to the surface, so its depth will be ...
T(t) = -13 +0.5t
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b) The diver starts at -4 feet and decreases their elevation relative to the water's surface by 0.35 ft/second. After t seconds, the diver will be 0.25t lower than the initial position, so their depth will be ...
D(t) = -4 -0.25t
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c) The diver and turtle will be at the same depth when ...
T(t) = D(t)
-13 +0.50t = -4 -0.25t
0.75t = 9 . . . . . . . . . . . . add 13+0.25t
t = 12 . . . . . . . . . . . . . . . divide by 0.75
The diver and turtle will be at the same depth after 12 seconds.
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d) That depth will be ...
T(12) = -13 +0.5(12) = -13 +6 = -7
The diver and turtle meet at a depth of 7 feet.
