Question

A certain species of tree grows an average of 3.1 cm per week. Write an equation for the sequence that represents the weekly height of this tree in centimeters if the measurements begin when the tree is 400 centimeters tall.

Answer 1

Y = 400 + 3.1x

X for the number of weeks
Y for total CM

Hope this helps...

Answer 2

`y = 3.1x+400`c

Explanation:

Slope intercept form:

The equation of straight line is given by:

`y =mx+b` ....[1]

where, m is the rate or slope and b is the initial value of y-intercept.

As per the statement:

A certain species of tree grows an average of 3.1 cm per week.

Let x be the number of week and y represents the weekly height of the tree.

then;

" tree grows an average of 3.1 cm per week." translated to 3.1 x

It is also given that:

the measurements begin when the tree is 400 centimeters tall.

⇒y(0) =b = 400 cm

Substitute the given values in [1] we have;

`y = 3.1x+400`

Therefore, an equation for the sequence that represents the weekly height of this tree in centimeters is,
`y = 3.1x+400`