14 The equation of the line which enables the time for anaesthesia to take effect to be
predicted from the amount of anaesthesia administered is:
time amount
The predicted time taken for anaesthesia to take effect when 0.6 units of anaesthesia is
administered is closest to:
A 3.28 minutes
B 3.52 minutes
C 12.39 minutes
D 3.82 minutes
E 12.42 minutes

Question

14 The equation of the line which enables the time for anaesthesia to take effect to be
predicted from the amount of anaesthesia administered is:
time

amount
The predicted time taken for anaesthesia to take effect when 0.6 units of anaesthesia is
administered is closest to:
A 3.28 minutes
B 3.52 minutes
C 12.39 minutes
D 3.82 minutes
E 12.42 minutes

UpStudy AI · Accepted Answer

We are given the equation:

$$
\text{time}^2 = 18 - 9.3 \times \text{amount}
$$

We need to predict the time when $$0.6$$ units of anaesthesia are administered. Substitute $$\text{amount} = 0.6$$:

$$
\text{time}^2 = 18 - 9.3 \times 0.6
$$

Calculate $$9.3 \times 0.6$$:

$$
9.3 \times 0.6 = 5.58
$$

Now substitute back:

$$
\text{time}^2 = 18 - 5.58 = 12.42
$$

Take the square root of both sides to solve for time:

$$
\text{time} = \sqrt{12.42}
$$

Using a calculator, we find:

$$
\sqrt{12.42} \approx 3.52 \text{ minutes}
$$

Thus, the predicted time taken for anaesthesia to take effect when $$0.6$$ units is administered is closest to $$3.52$$ minutes.
The predicted time is approximately 3.52 minutes.

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