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After 30 seconds in the water the temperature of the thermometer had decreased by 7.5^circ C Calculate the average decrease in temperature each second.

Question

After 30 seconds in the water the temperature of the thermometer had
decreased by 7.5^circ C
Calculate the average decrease in temperature each second.

After 30 seconds in the water the temperature of the thermometer had decreased by 7.5^circ C Calculate the average decrease in temperature each second.

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FayeMaster · Tutor for 5 years

Answer

The average decrease in temperature each second is \( \frac{7.5^{\circ}C}{30 \text{ seconds}} = 0.25^{\circ}C/\text{second} \).

Explain

## Step 1: <br />In this problem, we are asked to find the average decrease in temperature each second. This is a rate problem, which means we need to divide the total change in temperature by the total time.<br /><br />## Step 2: <br />The total change in temperature is given as \(7.5^{\circ}C\), and the total time is given as 30 seconds.<br /><br />## Step 3: <br />To find the average decrease in temperature each second, we divide the total change in temperature by the total time. <br /><br />### \( \text{Average decrease in temperature each second} = \frac{\text{Total change in temperature}}{\text{Total time}} = \frac{7.5^{\circ}C}{30 \text{ seconds}} \)
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