A taxicab service charges a flat fee of $7 plus an additional $1.25 per mile driven. Show the relationship between the total cos
1 answer:
Answer with Step-by-step explanation:
We are given that
Flat fee of taxicab=$7
Cost of one mile=$1.25
1.We have to show that relationship between total cost and the number of miles driven.
2.We have to find independent variable and dependent variable
3.We have to write an equation to model the relationship and make a table to show the cost of 4 to 10 miles.
1.Let x be the number of miles driven by taxicab and total cost y of taxicab.
According to question
This is a relation between number of miles drive and total cost.
2. Independent variable : It is that variable which does not depend on value of another variable .
Dependent variable : it is that variable which depend on value of another variable.
We can see that y depend on x and value of x does not depend on any value.
Therefore, y is dependent variable and x is independent variable.
Substitute x=4 then we get
$12
Substitute x=5 then get
$13.25
\$14.5
$15.75
$17
$18.25
$19.5
You might be interested in
Answer:
a)
So on this case the 99% confidence interval would be given by (13.83;28.17)
b)
c)
d) D. Decreasing the sample size increases the margin of error, provided the confidence level and population standard deviation remain the same.
Step-by-step explanation:
Previous concepts
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
Part a
represent the sample mean
population mean (variable of interest)
represent the population standard deviation
n=350 represent the sample size
99% confidence interval
The confidence interval for the mean is given by the following formula:
(1)
Since the Confidence is 0.99 or 99%, the value of and
, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.005,0,1)".And we see that
Now we have everything in order to replace into formula (1):
So on this case the 99% confidence interval would be given by (13.83;28.17)
Part b
The margin of error is given by:
Part c
The margin of error is given by:
Part d
As we can see when we reduce the sample size we increase the margin of error so the best option for this case is:
D. Decreasing the sample size increases the margin of error, provided the confidence level and population standard deviation remain the same.