5. Which line appears to have an x-intercept of -5 and a y-intercept of 3?
2 answers:
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Answer:
A. 0 ≤ n ≤ 7
B. the height after 0 days (the initial height in cm)
Step-by-step explanation:
<h3>A.</h3>The plant cannot be expected to continue its exponential growth curve, so a reasonable domain is the domain of the observations already made. The plant reached its height of about 11.26 cm after about 7 days. The reasonable domain for the growth function is ...
0 ≤ n ≤ 7
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<h3>B.</h3>The y-intercept corresponds to the n=0 value, the height of the plant at the start of the study.
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<em>Additional comment</em>
The value of n that gives f(n) = 11.26 can be found using logarithms.
11.26 = 8(1.05^n)
log(11.26/8) = n·log(1.05) . . . . . . divide by 8, take logs
n = log(11.26/8)/log(1.05) ≈ 7.00582
