Question

4. (#18) A vine is 1.3 inches long now and it will grow 0.2 inches a day. Identify a rule for the linear function that describes the length of the vine. Use the rule to find the number of days it will take the vine to grow to be 10.3 inches long.
5. (#24) Multiply (q-1)^2

2. (#6) The French club is sponsoring a bake sale to raise at least $305. How many pastries must they sell at $2.05 each in order to reach their goal?

Answer 1

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

Learn more on Linear function here: brainly.com/question/2408815

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