The table shows the height, in meters, of an object that is dropped as time passes until the object hits the ground.

a line of best fit for the data is represented by h = -21.962x + 114.655. which statement compares the line of best fit with
the actual data given by the table?
a. according to the line of best fit, the object would have hit the ground 0.6 seconds later than the actual time the object hit
the ground
b. according to the line of best fit, the object was dropped from a lower height.
c. the line of best fit correctly predicts that the object reaches a height of 40 meters after 3.5 seconds.
d. the line of best fit predicts a height of 4 meters greater than the actual height for any time given in the table.

Option A. is the answer.

Step-by-step explanation:

Let's check every option given in the question.

A. The given line of best fit for the data is represented by

h = -21.962x + 114.655

At the time when the object hits the ground h = 0,

-21.962x + 114.655 = 0

21.962x = 114.655

x = 5.22 sec.

But in the given table, at x = 4.6, height of the object was zero.

Therefore, difference in original and actual time = 5.22 - 4.60

= 0.62 seconds

≈ 0.6 seconds

Option A is correct which states that the object would have hit the ground 0.6 later than actual time the object hit the ground.

B. At the time x = 0, height of the object will be at the maximum height.

Therefore, h = -21.962×0 + 114.655

h = 114.655 meters

This height is more than the actual height 100 meters.

Option B is incorrect.

C. In this part we have to calculate the height at x = 3.5 seconds

h = -21.962×3.5 + 114.655

h = 37.788

But from the table given at x = 3.5, height h was 40 meters

Therefore, Option C is incorrect.

D. At x = 0, height of the object was 114.655 meters from the line of best fit.

But from the table it is given as 100 meters.

That shows a difference of 114.655 - 100 = 14.655 meters in height, which is not 4 meters.

Therefore, option D. is also incorrect.

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step-by-step explanation:

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