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

The company bought 350 Douglas Fir bought and 500 Ponderosa pine trees bought

Solution:

Let "d" be the number of Douglas Fir bought

Let "p" be the number of Ponderosa pine trees bought

Cost of 1 douglas fir = $ 300

Cost of 1 ponderosa pine = $ 225

Given that There are 850 Douglas Fir and Ponderosa pine trees in a section of the forest bought by karamazov logging co

So we can frame a equation as:

number of Douglas Fir bought + number of Ponderosa pine bought = 850

d + p = 850 --- eqn 1

Given that the company paid an average of 217,500 trees

So we frame a equation as:

number of Douglas Fir bought x Cost of 1 douglas fir + number of Ponderosa pine trees bought x Cost of 1 ponderosa pine = 217500

300d + 225p = 217500 --- eqn 2

Let us solve eqn 1 and eqn 2 to find values of "d" and "p"

From eqn 1,

d = 850 - p --- eqn 3

Substitute eqn 3 in eqn 2

300(850 - p) + 225p = 217500

255000 - 300p + 225p = 217500

-75p = 217500 - 255000

-75p = -37500

Substitute p = 500 in eqn 3

d = 850 - 500

Thus the company bought 350 Douglas Fir bought and 500 Ponderosa pine trees bought

constant acceleration- a

constant velocity- c

no velocity or acceleration- b

explanation:

for body moving with a constant acceleration, the rate of change of displacement changes over time. this is proven by the increasing gradient of the curve (a) against time.

a body that is moving at constant velocity covers equal distances over equal periods of time, thus the straight line with a constant gradient c.

a stationary body   covers no displacement as time elapses. thus the flat line with   zero gradient.