Emilia conducted an experiment with growing crystals. At the beginning of the experiment, she had a crystal that measured 6 millimeters. She recorded the length every hour and noticed that it increased by 12 millimeters every hour. Emilia graphed the relationship between the time and the length of the crystal.

Question

Question
Which two ordered pairs are points on Emilia's graph? Move the correct ordered pairs to the blanks.

Response area with 2 blank spaces
Blank space 1 empty
and
Blank space 2 empty
Answer options with 5 options.

Answer 1

Since we don't have the graph, we can calculate the length of the crystal at different times based on the given information and create our own ordered pairs.

After 0 hours: 6 mm
After 1 hour: 6 + 12 = 18 mm
After 2 hours: 6 + 2(12) = 30 mm
After 3 hours: 6 + 3(12) = 42 mm
After 4 hours: 6 + 4(12) = 54 mm

So the ordered pairs are: (0, 6), (1, 18), (2, 30), (3, 42), (4, 54)

Since the question asks for two ordered pairs, we can choose any two from the list. For example, (1, 18) and (4, 54) could be the answer.

So the final answer is:

(1, 18) and (4, 54)

Answer 2

My options are (1,12) (2,30) (4,36) (5,66) and (7,54). Which two?

Answer 3

Using the given options, we can see that the only ordered pair that is 12 units apart is (1, 12) and (2, 30).

If we check the other options, the points are not 12 units apart, so they are not valid points for Emilia's graph.

Therefore, the two ordered pairs that are on Emilia's graph are:

(1, 12) and (2, 30)