Question

A computer had 2 gigabytes of data stored on it when Jackie bought it, and she is storing an additional 3.5 gigabytes per year, as shown in the table below. Which of these statements is correct about the linear function that represents this situation? Amount of Data Stored on Jackie’s Computer Time (year) 0 1 2 3 4 Gigabytes of Data 2 2 + 3.5 = 5.5 5.5 + 3.5 = 9 9 + 3.5 = 12.5 12.5 + 3.5 = 16 The initial value represents the 2 gigabytes of data stored on the computer when Jackie bought it, and the rate of change represents the 3.5 gigabytes per year that Jackie is storing. The initial value represents the 2 gigabytes per year that Jackie is storing, and the rate of change represents the 3.5 gigabytes of data stored on the computer when Jackie bought it. The initial value represents the 3.5 gigabytes of data stored on the computer when Jackie bought it, and the rate of change represents the 2 gigabytes per year that Jackie is storing. The initial value represents the 3.5 gigabytes per year that Jackie is storing, and the rate of change represents the 2 gigabytes of data stored on the computer when Jackie bought it. Mark this and return

Answer 1

Answer:The initial value represents the 2 gigabytes of data stored on the computer when Jackie bought it, and the rate of change represents the 3.5 gigabytes per year that Jackie is storing.

Answer 2

The statement first is correct because 2GB represents the initial data and in the second term 3.5GB represents the rate of change of data per year.

What is a function?

It is defined as a special type of relationship and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

Initial data when Jackie bought = 2 gigabytes

Rate of change of data per year:

$\rm\frac{dB}{dt} = 3.5$

We can frame a linear function such that:

$\rm y = 2 + n(\frac{dB}{dt})$

$\rm y = 2 + 3.5n$

Where y represents the total data stored at n years.

And n represents the $\rm n^{th}$ year

When n = 0 then y = 2     (initial data when Jakie bought it)

When n = 1 then y = 5.5   (after one year the amount of data Jakie's                                                       computer has)                          

Term 2 represents the initial data and term 3.5 represents the rate of change of data per year.

Therefore, the initial value represents the 2 gigabytes of data stored on the computer when Jackie bought it, and the rate of change represents the 3.5 gigabytes per year that Jackie is storing.

Learn more about the function here:

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