Sure, let's solve this step-by-step:
1. Initial Data:
- The volume of the jug of oil increases by 0.15 ounces when it is heated by 15°F.
2. Calculate the Expansion Rate:
- First, we need to determine the rate of expansion per degree Fahrenheit.
- We know that 0.15 ounces is the expansion for 15°F.
- To find the expansion per degree, divide the expansion amount by the temperature increase:
[tex]\[
\text{Expansion rate per degree} = \frac{0.15 \text{ oz}}{15 \text{ °F}} = 0.01 \text{ oz/°F}
\][/tex]
3. Total Expansion Calculation:
- Now, we want to know the expansion when the jug is heated by 39°F.
- Multiply the rate of expansion per degree by the target temperature increase:
[tex]\[
\text{Total expansion} = 0.01 \text{ oz/°F} \times 39 \text{ °F} = 0.39 \text{ oz}
\][/tex]
4. Round the Answer:
- Lastly, we round the total expansion to 2 significant digits:
[tex]\[
\text{Rounded total expansion} = 0.39
\][/tex]
So, when the oil is heated by 39°F, it will expand by 0.39 (omitting the units as requested).
