During its first 50 days of growth, a sunflower grows about 4 cm per day. What is the constant of proportionality? What is the equation relating height to days? After how many days will a sunflower be 60 cm tall?

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Answer 1 · 2018-01-20T22:41:45

constant of proportionality is #4"cm/day"#
#h=4t#
15 days

So we will assume from the question that the relationship is directly proportional.

Let h=height in cm
Let t=time in days

Let #hpropt#

#h=kt#
k is our constant of proportionality.

Our constant of proportionality will be the rate of growth, which is "the amount of growth in a set time", or #4"cm/day"#.

From the question, let #k=4#

#h=4t#

We want to know the number of days it takes to be 60cm.

Let #h=60#

#60=4t#
#t=15#
#:. 15" days"#