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
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.
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)
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)
My options are (1,12) (2,30) (4,36) (5,66) and (7,54). Which two?
To find the two ordered pairs that are points on Emilia's graph, we can use the given information that the length of the crystal increases by 12 millimeters every hour.
Let's start with the initial length of 6 millimeters. We can use this as the starting point on the graph.
The first hour after the experiment starts, the length would increase by 12 millimeters. So, the first ordered pair would be (1 hour, 6 + 12 = 18 millimeters).
Therefore, the first ordered pair is (1, 18).
To find the second ordered pair, we can continue using the pattern that the length increases by 12 millimeters every hour.
After two hours, the length would increase by 12 millimeters again. So, the second ordered pair would be (2 hours, 18 + 12 = 30 millimeters).
Therefore, the second ordered pair is (2, 30).
Now, let's fill in the blanks in the response area:
Blank space 1: (1, 18)
Blank space 2: (2, 30)
The correct answer is (1, 18) and (2, 30).