Answer:
I and II.
Step-by-step explanation:
Dot plots are charts that<em> represent data points on a simple scale using filled circles</em>. Stemplots allow <em>plotting data by dividing it into stems (largest digit) and leaves (smallest digits)</em>. Both dot plots and stemplots are like histograms since they allow to compare data relating to only one variable, and are used for continuous, quantitive data, highlighting gaps, clusters, and outliers.
Histograms <em>use bars to represents amounts, with no space between the bars and </em>the height of the bars is proportional to the frequency or relative frequency of the represented amount. <u>We refer to the relative frequency of a case when this frequency is divided by the sum of all frequencies of the cases</u>. The proportionality between the height of the bar and the frequency is right when the width (interval) of the bar is the same for everyone, on the contrary, the area of the bar would be proportional to the frequency of cases.
Therefore, of all the above, the correct statements are I and II. Statement III is incorrect because relative <em>heights </em>are proportional to relative <em>frequencies</em>.
I hope it helps you!
The second choice is the answer: the initial value is the y value (which is 4) and the rate of change is the slope. The slope is calculated with rise/run, so the rise in this situation is that it moves down (negative) by 3 (rise=-3) and the run is how much it moves to the right (run=4). Therefore, the rate of change is rise/run which is -3/4
Answer:
- Inverse Variation
- Equation: 
Step-by-step explanation:
Given
X-> 2 | 4 | 8 | 12
Y-> 6 | 3 | 3/2 | 1
Required
- State the type of variation the table represents
- Determine the equation to model the data
To check for type of variation; we'll make use of trial by error method.
To start with; We'll check for direct variation.
This is done using the following expression;
where k is the constant of variation
Make k the subject of formula
When Y = 6, X= 2
When Y = 3, X = 4
There's no need to check further as both values of k are not equal
To check for inverse variation;
Make k the subject of formula
When Y = 6, X= 2
When Y = 3, X = 4
When Y = 3/2; X = 8
When Y = 1, X = 12
Note that for all values of X and Y, K remains constant;
Hence, the table represents an inverse direction
To determine the equation;
We make use of
Substitute 12 for k
So, the equation becomes
Reorder
Hence, the equation is
The value of the expression decreases
So $60/8= $7.5 which means each ticket is $7.5
$195/$7.5= 26
That means that 26 students can buy tickets with $195
