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(w), the height in centimetres, of the plant and w, the number of weeks that the plant has been growing?

A
h(w)=6w
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B
h(w)=9w
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C
h(w)=54w
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D
h(w)=54+w
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Solution

## The correct option is B h(w)=9wGiven that the plant height increases at linear rate is 54 centimeters tall in six weeks.Then the plant height increases in one week = 546=9 centimeter.If w is the number of weeks the plant height tall h(w)=9w, then h(w)=9w.

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