Ira is the middle school basketball statistician. She tracks the number of minutes a player plays and the number of fouls the player makes. Her data are shown in the scatter plots. Is there an association between the number of minutes played and the number of fouls made?

Choose the synonym for " sequences"

The graph shows the temperature between noon and midnight in City A on a certain day.

The table shows the temperature, TT, in degrees Fahrenheit, for hh hours after noon, in City B.

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 .

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.

The graph shows the temperature between noon and midnight in City A on a certain day.

The table shows the temperature, TT, in degrees Fahrenheit, for hh hours after noon, in City B.

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 .

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.

Given five noncollinear points, make a conjecture about the number of ways to connect different pairs of points.

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 :

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, …

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

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.
3,1, $1 third comma 1 over 9 horizontal ellipsis$ …

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.

Determine whether the following functions are linear or non-linear and explain how you know.
$Y equals 2 to the power of x plus 3$

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.
$Y equals 2 to the power of x plus 3$