The rule for the linear function that describes the length of the vine is L = 1.3 + 0.2d
The number of days it would take the vine to grow to be 10.3 inches long is 45 days
Linear functions
From the question, we are to determine a linear function that describes the situation
From the given information,
Then vine is 1.3 inches long now
and it grows 0.2 inches a day
∴ After the days, the vine will increase by 0.2d in length
Then,
If L represents the length of the vine, d represent the number of days
The length of the vine after d number of days will be
L = 1.3 + 0.2d
Hence, the rule for the linear function that describes the length of the vine is L = 1.3 + 0.2d
Now, we are to determining the number of days it will take the vine to grow to be 10.3 inches long
Using the above linear function
L = 1.3 + 0.2d
10.3 = 1.3 + 0.2d
0.2d = 10.3 - 1.3
0.2d = 9
d = 9 / 0.2
d = 45
Hence, the number of days it would take the vine to grow to be 10.3 inches long is 45 days
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