Question

Once a certain plant begins to grow, its height increases at a linear rate. After six weeks, the plant is $54$ centimetres tall. Which of the following functions best models the relationship between $h\left(w\right)$, the height in centimetres, of the plant and $w$, the number of weeks that the plant has been growing?

• A. $h\left(w\right)=6w$
• B. $h\left(w\right)=9w$
• C. $h\left(w\right)=54w$
• D. $h\left(w\right)=54+w$

Answer 1

The correct option is B $h\left(w\right)=9w$

Given that the plant height increases at linear rate is $54$ centimeters tall in six weeks.

Then the plant height increases in one week $=$ $\frac{54}{6}=9$ centimeter.

If $w$ is the number of weeks the plant height tall $h\left(w\right)=9w$, then $h\left(w\right)=9w$.