Which best describes the function represented by the table?
1 answer:
Answer:
Option B is correct.
direct variation; k = 5/2
Step-by-step explanation:
The Direct variation says:
then the equation is of the form: ......[1] where k is the constant of variation.
From the given table:
Consider x = -2 and y = -5
Substitute these in [1] to solve for k;
or
5 = 2k
Divide both sides by 2 we get;
⇒ the equation becomes:
Check:
Take x = 4 and y = 10;
10 = 10 True
Therefore, the direct variation ; best describe the function represented by the table
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The amount which Brandon have saved in interest by consolidating the two balances on the card with the lower interest rate is $256.12.
<h3>What is monthly payment?</h3>Monthly payment is the payment which has to paid against the loan amount or the borrowed money calculated with interest rate.
It can be calculated with the following formula.
Here, (<em>P</em>) is the principal amount, (<em>r</em>) is the interest rate and (<em>t</em>) is time.
Brandon has two credit cards and would like to consolidate the two balances into one balance on the card with the lower interest rate.
The table below shows the information about the two credit cards Brandon currently uses.
- Cards Amount APR Monthly Payment
- Card a $1,463.82 13% $24.60
- Card b $1,157.98 17% $22.14
Interest rate for the card a is,
The time period is 8 years and there are 12 months in one year. Thus, the monthly payment of card A will be,
In the 8 years, there is total 96 monthly payments. Thus, the total payment by card A is,
For the card B the monthly payment is $22.14. Thus the total payment by card B is,
The difference in the payment is,
Hence, the amount which Brandon have saved in interest by consolidating the two balances on the card with the lower interest rate is $256.12.
Learn more about the monthly payment here;
Answer:
a) We can calculate the mean with the following formula:
And replacing we got:
And for the median first we need to order the dataset on increasing way:
50, 60, 65, 70, 350
Since the sample size is an odd number we can calculate the median as the middle position for the dataset, for this case the 3th position and we got:
Median = 65
b) For this case we can see that we have an outlier present in the data 350, and for this case if we want to give a measure of central tendency is better use the median since this meaure is not affected by outliers. So Lauren should use the median.
Step-by-step explanation:
For this case we have the following data:
350, 70, 65, 50, 60
Part a
We can calculate the mean with the following formula:
And replacing we got:
And for the median first we need to order the dataset on increasing way:
50, 60, 65, 70, 350
Since the sample size is an odd number we can calculate the median as the middle position for the dataset, for this case the 3th position and we got:
Median = 65
Part b
For this case we can see that we have an outlier present in the data 350, and for this case if we want to give a measure of central tendency is better use the median since this meaure is not affected by outliers. So Lauren should use the median.