To find the height of Kylie's plant using the equation
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For
: -
For
: -
For
:
Now we can fill in the table for Kylie's plant:
Time in months (x) | Height in inches (y)
- 2 | 24
- 4 | 48
- 5 | 60
Summary of Heights:
- At
months, Kylie's plant is 24 inches tall. - At
months, Kylie's plant is 48 inches tall. - At
months, Kylie's plant is 60 inches tall.
Comparing Heights of Both Plants:
Now, let's consider the height of Jane's plant for the same times:
- At
months, Jane's plant is 24 inches tall. (They are the same height!) - At
months, Jane's plant is 48 inches tall. (They are the same height!) - At
months, Jane's plant is 60 inches tall.
Conclusion:
Yes, there is a time when the two plants are the same height, which occurs at both 2 months and 4 months, where both plants reach 24 inches and 48 inches, respectively. The plants are both 60 inches tall after 5 months.