Answer:
[tex]y = 3.1x+400[/tex]c
Step-by-step explanation:
Slope intercept form:
The equation of straight line is given by:
[tex]y =mx+b[/tex] ....[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;
[tex]y = 3.1x+400[/tex]
Therefore, an equation for the sequence that represents the weekly height of this tree in centimeters is, [tex]y = 3.1x+400[/tex]
