Sales tax in the state of connecticut there is a state
sales tax of 6.35% on all goods purchased. if jan
buys a television for $599, what will be the final bill,
including state sales tax?

$637.04

Step-by-step explanation:

We have been given that sales tax in the state of Connecticut there is 6.35% on all goods purchased. We are asked to find the total cost of television including state sales tax.

The total cost of the television would be $599 plus 6.35% of $599.

Therefore, the final bill including state sales tax would be $637.04.

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: