(05.01 MC) A store sells cooking oil of two different brands in bottles of the same size. The table below and the equation each show the price (y), in dollars, of different number of bottles of oil (x):

Brand A

Number of Bottles, x Price (dollars), y

2

24

3

36

4

48

5

60

Brand B

y = 15x

How many dollars more is the price of 9 bottles of brand B oil than the price of 9 bottles of brand A oil? (5 points)

1. $3
2. $9
3. $18
4. $27

1. 3$

Step-by-step explanation:

If A brand is 12$ per bottle, and B is 15x, then that is a 3$ difference.

answer: ok

step-by-step explanation:

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: