F(-5) = -4, and f(5)= 2
linear equation satisfying the conditions , if possible

Given:

f(-5) = -4, and f(5)= 2.

To find:

The linear equation satisfying the conditions.

Solution:

We have,

f(-5) = -4, and f(5)= 2

It means the function passes through the points (-5,-4) and (5,2). So, the linear equation of the function f is

On further simplification, we get

Putting y=f(x), we get

Therefore, the required function is .

use an equation of ratios to determine the amount of gas needed to fill the tank.

    0.2             0.8

  =    

288.75             x

                                                              231 gal

so, 0.2x = (0.8)(288.75 gal), and x = = 1155 gal.

                                                                0.2

it would take 1155 gal. to fill the tank.

the cost would be

1155 gal         $3

* = $3465   (answer)

      1           1 gal

hope this you

good luck on your studies! : )

david edward.