Question
The table shows the relationship between time and cost. Show that the relationship is linear, and then find the equation for the relationship.
Hint:
A linear equation is of the form , where m and c are constants.
Slope of a line is m=
We are asked to shown that the relation is linear and find a linear equation for the data.
The correct answer is: We are asked to shown that the relation is linear and find a linear equation for the data.
ANSWER:
Step 1 of 3:
Plot the points on a graph,
The points on the scatter plot forms a straight line.
Thus, the data of time and cost are linear.
Step 2 of 3:
The equation of a linear equation is of the form 
, where .
Step 3 of 3:
Slope,
The equation is . To find the value of , substitute the point in the equation.
Thus, we have:
Hence, the required equation is .
The points on the scatter plot forms a straight line.
Thus, the data of time and cost are linear.
Step 2 of 3:
The equation of a linear equation is of the form
, where .Step 3 of 3:
Slope,
The equation is . To find the value of , substitute the point in the equation.
Thus, we have:
Hence, the required equation is .
A linear equation is of the form , where m and c are constants.
Slope of a line is m=
We are asked to shown that the relation is linear and find a linear equation for the data.
Related Questions to study
Neil and Yuki run a data entry service . Neil starts at 9 :00 Am and can type 45 words per minute. Yuki arrives at 10 :30 AM and can type 60 words per minute. Write and solve an inequality to find at what time yuki will have typed more words than neil. Let X represent the time in minutes.
Note:
Whenever we use the inequality symbol < or> we do not include the end point.
Neil and Yuki run a data entry service . Neil starts at 9 :00 Am and can type 45 words per minute. Yuki arrives at 10 :30 AM and can type 60 words per minute. Write and solve an inequality to find at what time yuki will have typed more words than neil. Let X represent the time in minutes.
Note:
Whenever we use the inequality symbol < or> we do not include the end point.
Which of the following statements about the given diagram is NOT true
Which of the following statements about the given diagram is NOT true
Use the given scatter plots to answer the questions.
a) Does this scatter plot show a positive association, negative association, or non-association? Explain why.
b) Is there an outlier(s) in this data set? If so, approximately how old is that person and how much does he or she make in allowance each week?
c) Is this association linear or non-linear? Explain why.
d) What can you say about the relationship between your height and your allowance?
e) Do you think that being older means that you will get more allowance? In other words, do think this relationship is a causation or a correlation?
Causation explicitly applies to cases where one action causes the outcome of another action. Whereas, correlation is simply a relationship.
Use the given scatter plots to answer the questions.
a) Does this scatter plot show a positive association, negative association, or non-association? Explain why.
b) Is there an outlier(s) in this data set? If so, approximately how old is that person and how much does he or she make in allowance each week?
c) Is this association linear or non-linear? Explain why.
d) What can you say about the relationship between your height and your allowance?
e) Do you think that being older means that you will get more allowance? In other words, do think this relationship is a causation or a correlation?
Causation explicitly applies to cases where one action causes the outcome of another action. Whereas, correlation is simply a relationship.
The measure of an angle is 5 times the measure of its complement. Find the measure of each angle.
The measure of an angle is 5 times the measure of its complement. Find the measure of each angle.
Use the given scatter plots to answer the questions.
a) Does this scatter plot show a positive association, negative association, or non-association? Explain why.
b) Is there an outlier(s) in this data set? If so, approximately how tall is that person and how much does he or she make in allowance each week?
c) Is this association linear or non-linear? Explain why.
d) What can you say about the relationship between your height and your allowance?
e) Do you think that being taller means that you will get more allowance? In other words, do you think this relationship is causation or a correlation?
Causation explicitly applies to cases where one action causes the outcome of another action. Whereas, correlation is simply a relationship.
Use the given scatter plots to answer the questions.
a) Does this scatter plot show a positive association, negative association, or non-association? Explain why.
b) Is there an outlier(s) in this data set? If so, approximately how tall is that person and how much does he or she make in allowance each week?
c) Is this association linear or non-linear? Explain why.
d) What can you say about the relationship between your height and your allowance?
e) Do you think that being taller means that you will get more allowance? In other words, do you think this relationship is causation or a correlation?
Causation explicitly applies to cases where one action causes the outcome of another action. Whereas, correlation is simply a relationship.
