Question
The graph shows the temperature between noon and midnight in City A on a certain day.
![](data:image/png;base64,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)
The table shows the temperature, TT, in degrees Fahrenheit, for hh hours after noon, in City B.
![](data:image/png;base64,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)
1.Which city was warmer at p.m.?
2.Which city had a bigger change in temperature between p.m. and p.m.?
3.How much greater was the highest recorded temperature in than the highest recorded temperature in City A during this time?
4.Compare the outputs of the functions when the input is 3 .
Hint:
First, we need to compare the temperature at a certain time, which is clearly visible from the given data. Next, we need to find the change in temperature between different times of the day and the highest recorded temperature in both cities. Finally, we need to find the temperature of both the cities at 3:00 PM. We need to correctly check the graph for the values of the temperature.
The correct answer is: graph and table correctly to find the correct answer.
Step by step solution:
1.
From the graph, we can observe that
The temperature in city A at 4:00 pm = 57 F
From the table, it can be seen that
The temperature in city B at 4:00 PM = 62 F
Comparing the above two values, we get that city B was warmer at 4:00PM
2.
For city A:
Temperature at 1:00 PM = 50.5 F (approx)
Temperature at 5:00 PM = 58 F
Change in temperature = (58-50.5=) 8.5 F
For city B:
Temperature at 1:00 PM = 82 F
Temperature at 5:00 PM = 58 F
Change in temperature = (58-82=) -24 F
Thus, there is a bigger change in temperature between 1:00 PM and 5:00 PM in city B.
3.
From the graph,
The highest recorded temperature in City A = 59 F
From the table,
The highest recorded temperature in City B = 82 F
Hence, the highest recorded temperature in City B is greater than the highest recorded temperature in City A by (82-59) F = 23 F
4.
Assuming that the input is the time after noon, we need to find the output which is the temperature at that time.
Input is given to be 3
So,
Temperature in city A at 3:00 PM = 54.5F (approx)
Temperature in city B at 3:00 PM = 75 F
Here, we just need to read the given question carefully and understand each and every term. We need to interpret the graph and table correctly to find the correct answer.
Related Questions to study
Given five noncollinear points, make a conjecture about the number of ways to connect different pairs of points.
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)
Number of connections for 3 noncollinear points = 3
Number of connections for 4 noncollinear points = 6
Next from the figure, we get number of connections for 5 noncollinear points = 10
So the sequence is 3, 6, 10
Given five noncollinear points, make a conjecture about the number of ways to connect different pairs of points.
![](data:image/png;base64,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)
Number of connections for 3 noncollinear points = 3
Number of connections for 4 noncollinear points = 6
Next from the figure, we get number of connections for 5 noncollinear points = 10
So the sequence is 3, 6, 10
Blooms Level : Understanding
Meri analyzes the data collected to determine how long after posting a new blog her new home page received its maximum number of new views. Her data is presented in the table. How can she determine whether there is relationship between the time after posting and the number of new views.
NUMBER OF VIEWS ON HOME PAGE :
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)
Blooms Level : Understanding
Meri analyzes the data collected to determine how long after posting a new blog her new home page received its maximum number of new views. Her data is presented in the table. How can she determine whether there is relationship between the time after posting and the number of new views.
NUMBER OF VIEWS ON HOME PAGE :
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)
Choose the positive adjective strategy with 's'
Choose the positive adjective strategy with 's'
Describe the pattern in the numbers. Write the next number in the pattern., 3.5, 1.75, 0.875, …
Describe the pattern in the numbers. Write the next number in the pattern., 3.5, 1.75, 0.875, …
Given an example of a non-linear function in table form.
X | |||||
Y |
We know that the graph of a non linear function is not a straight line.
So, we can plot the above ordered pairs to verify that the graph of the above points is not a straight line and hence not a linear function.
Given an example of a non-linear function in table form.
X | |||||
Y |
We know that the graph of a non linear function is not a straight line.
So, we can plot the above ordered pairs to verify that the graph of the above points is not a straight line and hence not a linear function.
Choose the synonym for 'Inference'
Choose the synonym for 'Inference'
Describe the pattern in the numbers. Write the next number in the pattern.
5, − 2, − 9, − 16, …
Describe the pattern in the numbers. Write the next number in the pattern.
5, − 2, − 9, − 16, …
Describe the pattern in the numbers. Write the next number in the pattern.
3,1,
…
Describe the pattern in the numbers. Write the next number in the pattern.
3,1,
…
Sketch an example of a linear function in graph form.
We can take any straight line in the xy plane and derive its equation in the above method; we will get a linear function. We can check this by calculating the slope between all the points. If the slope is constant everywhere, then it is linear.
Sketch an example of a linear function in graph form.
We can take any straight line in the xy plane and derive its equation in the above method; we will get a linear function. We can check this by calculating the slope between all the points. If the slope is constant everywhere, then it is linear.
Select the positive adjective for 'go' es
Select the positive adjective for 'go' es
Choose the synonymous for 'sport
Choose the synonymous for 'sport
Determine whether the following functions are linear or non-linear and explain how you know.
![Y equals 2 to the power of x plus 3](data:image/png;base64,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)
There are other ways to determine if a given equation is linear or not. If an equation can be written in the form y = ax + b, where a and b are constants, then the function is linear. Another way to check if an equation is linear is by checking the highest degree of a term in the equation. If the highest degree of any term in the equation is 1, then the equation is linear, and if the degree of any term is greater than 1, then the equation is non-linear.
Determine whether the following functions are linear or non-linear and explain how you know.
![Y equals 2 to the power of x plus 3](data:image/png;base64,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)
There are other ways to determine if a given equation is linear or not. If an equation can be written in the form y = ax + b, where a and b are constants, then the function is linear. Another way to check if an equation is linear is by checking the highest degree of a term in the equation. If the highest degree of any term in the equation is 1, then the equation is linear, and if the degree of any term is greater than 1, then the equation is non-linear.
Determine whether the following functions are linear or non-linear and explain how you know.
![straight Y equals straight x cubed minus straight x squared](data:image/png;base64,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)
There are other ways to determine if a given equation is linear or not. If an equation can be written in the form y = ax + b, where a and b are constants, then the function is linear. Also, the graph of a linear equation is always a straight line. So, we can plot a graph of the given equation and check if it is a straight line.
Determine whether the following functions are linear or non-linear and explain how you know.
![straight Y equals straight x cubed minus straight x squared](data:image/png;base64,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)
There are other ways to determine if a given equation is linear or not. If an equation can be written in the form y = ax + b, where a and b are constants, then the function is linear. Also, the graph of a linear equation is always a straight line. So, we can plot a graph of the given equation and check if it is a straight line.