Question

Six 2-foot tall pine tress were planted during the school's observation of Earth Awareness Week in 1990. The trees have grown at an average rate of 3/4 foot per year. What Linear equation in y=mx+b y=mx+b form gives the height of the tree in terms of number of years since they were planted?

Answer 1

Answer:

The linear equation that gives the height of the tree in terms of number of years since they were planted is y = 3/4x + 2  OR y = 0.75x + 2

Step-by-step explanation:

In the linear equation, y =mx + b

This is the equation of a straight line where m is the gradient and b is the intercept on the y-axis.

In the equation, y represents the height of the trees after x years.

m is the gradient, that is, the rate at which the trees are growing.

and b is the height at the time they were planted, that is, at time x = 0.

From the question,

Six 2-foot tall pine trees were planted during the school's observation of Earth Awareness Week in 1990, that is,

b = 2

Also, from the question,

The trees have grown at an average rate of 3/4 foot per year, that is,

m = 3/4

Hence, the equation becomes

y = 3/4x + 2  ($y = \frac{3}{4}x + 2$)

OR

y = 0.75x + 2

Hence, the linear equation that gives the height of the tree in terms of number of years since they were planted is y = 3/4x + 2  OR y = 0.75x + 2.