Gasoline prices for the first six months of 2004 are shown in the table below. Using a logarithmic model, what is the best prediction for gas prices in the ninth month of 2004? Average Monthly Gas Prices in 2004 Month Average Price ($) 1 1.592 2 1.672 3 1.766 4 1.833 5 2.009 6 2.041 $2.10 $2.16 $2.32 $2.42

could you give more information?

13875138answer:

step-by-step explanation:

use a calculator!

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:

percentage - 25%

probability - 0.25

we know,

total amount of students in class = 20

total boys = 10

total girls = 10

no of girls who wear glasses = 10/2 = 5

probability of choosing a girl with glasses is =

number of girls wearing glasses/total number of students in the class = 5/20

thus, percentage of selecting a girl wearing glasses will be

= 5/20 × 100

= 5 × 5

25%

therefore,

probability will be 0.25

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