Question

Avery is tracking the height of a plant that grows at a constant rate. After the second week, theplant is 5.15 centimeters high. After the eighth week, the plant is 11.37 centimeters high. Howmany centimeters did the plant grow per week to the nearest hundredth (two decimal places)?

Answer 1

The number of centimeters the plant grows per week to the nearest hundredth = 1.04

Step-by-step explanation:

At 2nd week, the height of the plant = 5.15cm

At the 8th week = 11.37 cm

We need to find the rate at which it is growing. T o do this, we will find the slope of the ordered pairs.

Our ordered pair: (2, 5.15cm) and (8, 11. 37cm)

slope = change in height in cm/change in week

`\begin{gathered} \text{slope = }(11.37-5.15)/(8-2) \\ \end{gathered}`
`\begin{gathered} \text{slope = }(6.22)/(6) \\ \text{slope =1.037} \end{gathered}`

This means the rate growth of the plant is 1.037 cm every week.

The number of centimeters the plant grows per week to the nearest hundredth = 1.04