Determine if the values in the table are proportional by finding the constant of proportionality (k). show your work to indicate what the constant (k) is.

write an equation to show that y is directly proportional to x using the constant.

determine the value of y if x = 6.

The values in the table are proportional with the constant of proportionality

For the given table the equation can be written as :

The value of when

Step-by-step explanation:

From a given data with points the constant of proportionality can be calculated as:

For the given data we will find the constant of proportionality for each point.

1)

2)

3)

4)

We see that for each set of points we get the same value of . This shows that the values in the table are proportional with the constant of proportionality

The equation of directly proportional to can be written as :

where is the constant of proportionality

For the given table the equation can be written as :

To find value of when , we will plugin 6 in place of in the equation and solve for

So, we have.

So, value of when

total amount of money that he should pay if he has not used his duty free exemption is $98

step-by-step explanation:

given a united states citizen returning to the states declares the following items at the customs office: 3 shirts at $8.50 each 2 dresses at $27.50 each 1 pair of gold cuff links at $17.50 per pair. we have to find how much he pay

cost of 3 shirts if one cost at $8.50 is

cost of 2 dresses if one cost at $27.50 is  

cost of 1 pair of gold cuff at $17.50

so, total amount of money that he should pay if he has not used his duty free exemption is   $25.5+$55+$17.50=$98