There are 850 douglas fir and ponderosa pine trees in a section of forest bought by karamazov logging co. the company paid average of $300 for each douglas fir and $225 for each ponderosa pine. if the company paid $217,500 for the trees, how many of each kind did the company buy?

Douglas fir trees are 350 in number and Ponderosa pine trees are 500 in number.  

Step-by-step explanation:

Let the number of Douglas fir be denoted by 'x'

Let the number of Ponderosa pine trees be denoted by 'y'

The company paid average of $300 for each Douglas fir and $225 for each Ponderosa pine.

This gives, for total Douglas fir trees and for total Ponderosa pine trees.

Total amount paid by the company = 217500

Also given, there are 850 Douglas fir and Ponderosa pine trees which means ;

or

   ......................(1)

 .............(2)

Putting the value of 'x' from equation 1 into equation 2.

Now, solving this equation we get,

And we know

So, x =

Hence, Douglas fir trees are 350 in number and Ponderosa pine trees are 500 in number.  

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.