A scientist measured the energy of a system and found that it was increasing. The data shown represent the energy taken every billionth of a second. Time (nanoseconds) 0 1 2 3 Energy (Joules) 2.654 6.290 14.909 35.335 Classify the type of growth the scientist observed. 1) linear 2) quadratic 4) exponential 5) logarithmic

Question

Stafford

Mathematics

11 September, 14:49

A scientist measured the energy of a system and found that it was increasing. The data shown represent the energy taken every billionth of a second. Time (nanoseconds) 0 1 2 3 Energy (Joules) 2.654 6.290 14.909 35.335 Classify the type of growth the scientist observed. 1) linear 2) quadratic 4) exponential 5) logarithmic

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Answers (2)

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Clara Harris · Answer 1

At start (t = 0 nanoseconds):

E (t = 0) = 2.645 J

E (t = 1) = 6.290 J

E (t = 1) : E (t = 0) = 6.290 : 2.645 = 2.37

Also:

E (t = 2) : E (t = 1) = 14.909 : 6.290 = 2.37

E (t = 3); E (t = 2) = 35.335 : 14.909 = 2.37

Therefore, the formula for calculating the energy of the system is:

E (t) = 2.645 * 2.37 ^ t

The answer is 4) exponential growth.

Shaylee Mack · Answer 2

At start (t = 0 nanoseconds):

E (t = 0) = 2.645 J

E (t = 1) = 6.290 J

E (t = 1) : E (t = 0) = 6.290 : 2.645 = 2.37

Also:

E (t = 2) : E (t = 1) = 14.909 : 6.290 = 2.37

E (t = 3); E (t = 2) = 35.335 : 14.909 = 2.37

E (t) = 2.645 * 2.37 ^ t

The answer is 4) exponential growth.