Answer:
TRUE OPTIONS ARE:
"The temperature increased until 4:00 p.m. "
"The temperature decreased after 6:00 p.m. "
"The temperature increased more quickly between 12:00 p.m. and 4:00 p.m. than before 12:00 p.m."
Step-by-step explanation:
graph attached and complete question below:
Which statements are true about the temperatures Luis recorded on the graph? Check all that apply.
Until 1600 hours, the graph increases, so we can say temperature increased until 4.00 pm (FIRST OPTION TRUE).
From 1600 to 1800 hours (4 - 6pm), the temperature stayed same (horizontal line). This doesn't mean the temperature wasn't recorded. (2nd OPTION FALSE).
After 1800 hours (6pm), the line goes downward, so temperature decreased after 6 pm. (3rd OPTION TRUE).
If you look at the temperature graph, we can see temperature increased, then increased more, then constant, then decreased. Thus the 4th option isnt true. (4th OPTION FALSE).
Before 12, the increase isn't as sharp as after 12. After 12 temperature increase has more slope, so this increase is more. (5th OPTION TRUE).
A graph shows the mathematical relationship that exists between two or more variables
The statements that are true about the temperatures Luis recorded are;
The temperature increased until 4:00 p.m.
The temperature decreased after 6:00 p.m.
The temperature increased more quickly between 12:00 p.m. and 4:00 p.m. than before 12:00 p.m.
The reason the above statements are correct is as follows;
Question: Please find attached, the apparently missing graph for the question
The statements are;
There is an increase in temperature until 4:00 p.m.
There is no record of temperature between 4:00 p. m. and 6:00 p.m.
There is a decrease in temperature after 6:00 p. m.
The temperature first increased then it decreased, and finally, it held constant
The rate of increase of temperature between 12:00 p.m. and 4:00 p.m. is quicker than before 12:00 p. m.
Required:
The statements which are true about the temperatures Lewis recorded
Solution, from the attached graph, we have;
The values of points on the graph are;
[tex]\begin{array}{|c|cc|} \mathbf{Hours \ after \ midnight}&&\mathbf{Temperature \ (^{\circ}F)}}\\8&&-4\\10&&-2\\0&&12\\16&&8\\ 18&&8\\ 20&&4\end{array}\right][/tex]
True statement 1) As seen from the above values obtained from the graph, we have;
True statement 2) At 6:00 p. m., the hours after midnight is 18, and the temperature was 8 °F. The temperature at 20:00 hours, which is 8:00 p.m., the temperature was 4°F( a decrease of 2°F), therefore;
True statement 3) The slope between 12:00 p.m. and 4:00 p.m. (which is 16:00), m₁, is given as follows;
[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
m₁ = (8 - 0)/(16 - 12) = 2
The slope between 08:00 a.m. and 12:00 p.m., m₂, is given as follows;
m₂ = (0 - (-4))/(12 - 8) = 1
Therefore, the rate of temperature increase with time (the slope) is faster, quicker, between 12:00 p.m. and 4:00 p.m. than between 08:00 a. m. and 12:00 p. m.
Therefore;
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