When purchased, the height of a japanese maple sapling is 14 inches. the tree is expected to grow 2.5 inches each month. which function models the relationship between the height of the tree f(m) and the number of m months of growth? a) f(m) = 2.5m b) f(m) = 2.5m + 14 c) f(m) = 14m + 2.5 d) f(m) = 2.5m − 14

Step-by-step explanation:

The initial height of a Japanese maple sapling is 14 inches.

The tree is expected to grow 2.5 inches each month. This increase in height is linear, thus it is in arithmetic progression.

The expression for arithmetic progression is

Tn = a + (n-1)d

Where a = the first term of the series

d = common difference

Tn is the nth term of the series

n = the number of terms.

From the information given

a = 14 inches because it is the initial height of the tree

d = 2.5 because it is the difference in height between 2 consecutive months

n = m( number of months)

Tn = f(m)

function models the relationship between the height of the tree f(m) and the number of m months of growth will be

f(m) = 14 + 2.5(m-1)

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.

step-by-step explanation:

if you want to solve percent error follow these steps.

1. subtract the accepted value from the experimental value.

2. take the absolute value of step 1.

3. divide that answer by the accepted value.

4. multiply that answer by 100 and add the % symbol to express the answer as a percentage.

if you want to solve percent of change just do this.

1. work out the difference (increase) between the two numbers you are comparing.

2. divide the increase by the original number and multiply the answer by 100. if your answer is a negative number then this is a percentage decrease.

hope this : )