Graphing proportional relationships
1 answer:
a. The unit rate is 9 d per t
b. Find the graph in the attachment
To graph the line, we need to find its gradient or unit rate
<h3>a. How to calculate the unit rate of change of d with respect to t?</h3>Since t has an increase of 0.20 units in t corresponds to an increase of 1.8 units in d.
The gradient or unit rate of change is m = change in d/change in t
= Δd/Δt
Since
- Δd = +1.8 units and
- Δt = +0.2 units
So, substituting the values of the variables into the equation, we have
m = Δd/Δt
= + 1.8 units/+ 0.2 units
= 9 d per t
So, the unit rate is 9 d per t
<h3>b. The graph of the line</h3>
To graph the function, we need to know the equation of the graph.
So, the equation of a graph in gradient form is
m = (y - y')/(x - x') where (x', y') = (0, 0) since the graphs both start at the origin
Since m = 9, we have
m = (y - y')/(x - x')
9 = (y - 0)/(x - 0)
9 = y/x
y = 9x
So, the equation of the line is y = 9x
Find the graph in the attachment.
Learn more about graphs here:
#SPJ1
You might be interested in
Her sample space is also the list of local businesses.
Sampling is a technique used in statistics when researchers choose a representative subset of a larger population and utilize that subset to carry out a study. Probability sampling and non-probability sampling are the two main types of sampling. Selecting the group from whom you will actually gather data for your study is the process of sampling. If you wanted to examine the perspectives of students at your university, for instance, you could interview a sample of 100 students. With the help of sampling, you can test a statistical hypothesis on the features of a population.
The yellow pages are used by the researcher to do research on neighborhood companies. As a result, her sample space also includes a list of nearby companies.
Complete question: A researcher is conducting a study on local businesses. In order to create her sample, she uses the Yellowpages and a dice. She rolls the dice, and, depending on the number rolled, counts that many businesses down in the list to call. What is her sampling frame?
The list of local businesses in the Yellowpages.
All businesses within a radius.
The list of local businesses in the newspaper.
All businesses in the state she is located in.
The list of registered businesses in her area.
To read more about samplings, visit brainly.com/question/13287171
#SPJ4