The table below shows the concentration, c, of creatinine in the bloodstream of a dog.1 t (minutes) 2 4 8 10 c (mg/ml) 0.439 0.383 0.336 0.298 0.266 (a) (i) Find the average rate at which the concentration is changing between the 6th and 8th minutes. Average rate of change = |(mg/ml)/min. (ii) Find the average rate at which the concentration is changing between the 8th and 10th minutes. Average rate of change = (mg/ml)/min. (b) Explain the sign and relative magnitudes of your results in terms of creatinine. The signs are |because the concentration is The magnitude of the is because, as the concentration the rate at which it >

Linear Algebra: A Modern Introduction
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Chapter6: Vector Spaces
Section6.7: Applications
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Part B)

The signs are (positive or negative) because the concentration is (increasing or decreasing).

The magnitude of the  (increase or decrease) is (increasing/decreasing) because, as the concentration (rises or fall), the rate at which it (rises or fall) (increases or decreases).

It's a mouthful but it's a calculus problem so I'm not sure why it's categorized as science on here.

The table below shows the concentration, c, of creatinine in the bloodstream of a dog.1
t (minutes)
2
4
8
10
c (mg/ml)
0.439
0.383
0.336
0.298
0.266
(a) (i) Find the average rate at which the concentration is changing between the 6th and 8th minutes.
Average rate of change =
|(mg/ml)/min.
(ii) Find the average rate at which the concentration is changing between the 8th and 10th minutes.
Average rate of change =
(mg/ml)/min.
(b) Explain the sign and relative magnitudes of your results in terms of creatinine.
The signs are
|because the concentration is
The magnitude of the
is
because, as the concentration
the rate at which it
>
Transcribed Image Text:The table below shows the concentration, c, of creatinine in the bloodstream of a dog.1 t (minutes) 2 4 8 10 c (mg/ml) 0.439 0.383 0.336 0.298 0.266 (a) (i) Find the average rate at which the concentration is changing between the 6th and 8th minutes. Average rate of change = |(mg/ml)/min. (ii) Find the average rate at which the concentration is changing between the 8th and 10th minutes. Average rate of change = (mg/ml)/min. (b) Explain the sign and relative magnitudes of your results in terms of creatinine. The signs are |because the concentration is The magnitude of the is because, as the concentration the rate at which it >
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