Question

1. the graph shows the height, in centimeters, of a sunflower plant over several weeks. the plant was already at a certain height when it was first observed. how tall was the sunflower when it was first observed and at what rate is it growing? select the correct answer from each drop - down to complete the sentence. the sunflower plant started at an initial height of select centimeters and then grew select centimeters taller each day.

Explanation:

Step1: Find the initial height

The initial height is the height at time $x = 0$. Looking at the graph, when $x=0$, $y = 5$. So the initial height is 5 centimeters.

Step2: Calculate the growth - rate

The growth - rate is the slope of the line. The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Let's take two points on the line, say $(0,5)$ and $(10,35)$. Then $m=\frac{35 - 5}{10-0}=\frac{30}{10}=3$. So the sun - flower grows 3 centimeters taller each day.

Answer:

The sunflower plant started at an initial height of 5 centimeters and then grew 3 centimeters taller each day.