Question

Julia finds that the data in the table can be modeled by the function y = 5(4)x.

A 2-column table with 5 rows. The first column is labeled time (minutes) with entries 0, 1, 2, 4, 8. The second column is labeled distance (feet) with entries 5, 20, 80, 320, 640.
Which statement about Julia’s finding is true?

Julia is correct because the distance starts at 5 feet and increases by a factor of 4.
Julia is correct because the function is true for (0, 5) and (1, 20).
Julia is not correct because the function is not true for the point (2, 80).
Julia is not correct because the distance does not increase by a constant factor each minute.

Answer 1

D

Explanation:

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Answer 2

Julia is not correct because the distance does not increase by a constant factor each minute.

Explanation:

Julia modeled the data in the table by the function
`y = 5(4)^(x)`.

A 2-column table with 5 rows. The first column is labeled time (minutes) with entries 0, 1, 2, 4, 8. The second column is labeled distance (feet) with entries 5, 20, 80, 320, 640.

The values of y corresponding to the values of x are correct up to x = 2.

Now, for x = 4, the value of y is 1280 ≠ 320 and for x = 8, the value of y will be 327680 ≠ 640

Therefore, Julia is not correct because the distance does not increase by a constant factor each minute. (Answer)