chocklettee
Answered

Discover the answers you need at Westonci.ca, a dynamic Q&A platform where knowledge is shared freely by a community of experts. Join our platform to connect with experts ready to provide precise answers to your questions in various areas. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

Select the correct answer.

A chemist is performing an experiment by observing the effects when she combines two solutions. She monitors the temperature of the combined solution over the course of eight hours and records it in this table.

\begin{tabular}{|l|c|c|c|c|c|c|c|c|c|}
\hline Time (hours) & 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 \\
\hline Temperature [tex]$\left({ }^{\circ} F \right)$[/tex] & 20.50 & 19.82 & 17.42 & 14.02 & 10.82 & 9.50 & 12.22 & 21.62 & 40.82 \\
\hline
\end{tabular}

The chemist can model the temperature with a polynomial function. During these eight hours, over what interval is the temperature decreasing?

A. from hour 0 to hour 8
B. from hour 2 to hour 6
C. from hour 5 to hour 8
D. from hour 0 to hour 5

Sagot :

GinnyAnswer
To determine the interval during which the temperature is decreasing, we need to analyze the temperature changes between consecutive hours based on the provided data:

[tex]\[ \begin{array}{|c|c|c|c|c|c|c|c|c|c|} \hline \text{Time (hours)} & 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 \\ \hline \text{Temperature (}^{\circ}\text{F)} & 20.50 & 19.82 & 17.42 & 14.02 & 10.82 & 9.50 & 12.22 & 21.62 & 40.82 \\ \hline \end{array} \][/tex]

We will calculate the difference in temperature between each consecutive hour:

1. Difference from hour 0 to hour 1: [tex]\(19.82 - 20.50 = -0.68\)[/tex]
2. Difference from hour 1 to hour 2: [tex]\(17.42 - 19.82 = -2.40\)[/tex]
3. Difference from hour 2 to hour 3: [tex]\(14.02 - 17.42 = -3.40\)[/tex]
4. Difference from hour 3 to hour 4: [tex]\(10.82 - 14.02 = -3.20\)[/tex]
5. Difference from hour 4 to hour 5: [tex]\(9.50 - 10.82 = -1.32\)[/tex]
6. Difference from hour 5 to hour 6: [tex]\(12.22 - 9.50 = +2.72\)[/tex]
7. Difference from hour 6 to hour 7: [tex]\(21.62 - 12.22 = +9.40\)[/tex]
8. Difference from hour 7 to hour 8: [tex]\(40.82 - 21.62 = +19.20\)[/tex]

We observe the following temperature trends:

- Decreasing from hour 0 to hour 5
- Increasing from hour 5 to hour 6
- Increasing from hour 6 to hour 7
- Increasing from hour 7 to hour 8

Thus, the interval where the temperature consistently decreases is from hour 0 to hour 5.

Therefore, the correct answer is:
D. from hour 0 to hour 5
We appreciate your visit. Hopefully, the answers you found were beneficial. Don't hesitate to come back for more information. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.