Robert spends $30.45 before tax at the bookstore. If the sales tax rate in his city is 7.25%, what is the total cost of his purchase?

32.65

Step-by-step explanation:

Total cost of purchase = $32.66

Step-by-step explanation:

$30.45 before tax

If sales tax = 7.25% or 0.0725, then: $30.45 × 0.0725 = $2.21

Add the sales tax of $2.21 to $30.45 = $32.657 or $32.66

Therefore, the total cost of his purchase is $32.66

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:

468

step-by-step explanation: