In the given table, we can see that the height of Plant 1 increases by 2 centimeters every day. This means that for every day increase (x), the height of Plant 1 increases by 2.
On the other hand, the function y = 2 + 2.5x represents the height y (in centimeters) of Plant 2 over x days. In this function, for every day increase (x), the height of Plant 2 increases by 2.5 centimeters.
Since 2.5 is greater than 2, we can conclude that Plant 2 grows faster than Plant 1.
Therefore, the statement that correctly compares the growth of the plants is:
B) Plant 2 grows faster than Plant 1.
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Question
Growth of Plant 1
Number of days (x) Height in centimeters (y)
0 2.5
1 4.5
2 6.5
3 8.5
4 10.5
Jim observes two small plants in a garden. He records the growth of Plant 1 over several days as shown in the given table. He also determines that the function y = 2 + 2.5x represents the height y (in centimeters) of Plant 2 over x days. Which statement correctly compares the growth of the plants?
Responses
A Plant 1 grows faster than Plant 2.Plant 1 grows faster than Plant 2.
B Plant 2 grows faster than Plant 1.Plant 2 grows faster than Plant 1.
C The two plants grow at the same rate.The two plants grow at the same rate.
D Plant 2 grows faster than Plant 1 at first, but Plant 1 starts to grow faster after some time.Plant 2 grows faster than Plant 1 at first, but Plant 1 starts to grow faster after some time.
1 answer