Bob’s employer covers 23% of his family’s annual health insurance premium. the balance of the premium is deducted in equal amounts from bob’s paycheck 26 times over the calendar year. if $185.30 is withheld from each of bob’s paychecks, what is his family’s annual health insurance premium? a. $805.65 b. $4,817.80 c. $6,256.88 d. $20,946.96

c. $6256.88

Step-by-step explanation:

Let x represent annual health insurance premium of Bob's family.

We have been given that the balance of the premium is deducted in equal amounts from Bob’s paycheck 26 times over the calendar year. An amount of $185.30 is withheld from each of Bob’s paychecks.

First of all, we will multiply the amount withheld from each of Bob’s paychecks by 26 to find the annual amount deducted from Bob' salary.

Since Bob’s employer covers 23% of his family’s annual health insurance premium, so Bob covers 77% of health insurance.

Now, we need to find x such that 77% of x equals $4817.80. We can represent this information in an equation as:

Dividing both sides by 0.77 we will get,

\

Therefore, annual health insurance premium of Bob's family is $6256.88 and option 'c' is the correct choice.

  y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x             y

0             0

1             -3

3             -9

-2             6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.