Question
Week (w) Plant 1 (h) Plant 2 (h)
0 2.5 2.5
1 2.9 2.7
2 3.3 2.9
3
4
Science class is growing two plants. Plant 1 gets sunlight, and Plant 2 does not get sunlight. The class members organize the data in a table using the equations.
Plant 1: h=2.5+410w
Plant 2: h=2.5+15w
How much taller is Plant 1 than Plant 2 at the end of Week 3?
(1 point)
Responses
3.1 inches
3.1 inches
0.4 inches
0.4 inches
0.6 inches
0.6 inches
3.7 inches
0 2.5 2.5
1 2.9 2.7
2 3.3 2.9
3
4
Science class is growing two plants. Plant 1 gets sunlight, and Plant 2 does not get sunlight. The class members organize the data in a table using the equations.
Plant 1: h=2.5+410w
Plant 2: h=2.5+15w
How much taller is Plant 1 than Plant 2 at the end of Week 3?
(1 point)
Responses
3.1 inches
3.1 inches
0.4 inches
0.4 inches
0.6 inches
0.6 inches
3.7 inches
Answers
GPT-4o mini
To find how much taller Plant 1 is than Plant 2 at the end of Week 3, we need to calculate the height of each plant at that week using the given equations.
**For Plant 1:**
\[
h = 2.5 + 410w
\]
Substituting \(w = 3\):
\[
h = 2.5 + 410(3)
\]
\[
h = 2.5 + 1230
\]
\[
h = 1232.5
\]
**For Plant 2:**
\[
h = 2.5 + 15w
\]
Substituting \(w = 3\):
\[
h = 2.5 + 15(3)
\]
\[
h = 2.5 + 45
\]
\[
h = 47.5
\]
**Now, let's find how much taller Plant 1 is than Plant 2:**
\[
\text{Difference} = h_{\text{Plant 1}} - h_{\text{Plant 2}} = 1232.5 - 47.5 = 1185
\]
Thus, Plant 1 is **1185 inches** taller than Plant 2 at the end of Week 3.
However, it seems the options provided are much smaller than this calculated difference. Let's double-check the coefficients in the equations:
The coefficients seem off (it appears there might be a typo). If the correct growth rates are indeed \(410\) for Plant 1 and \(15\) for Plant 2, then \(1185\) is the correct difference. If it should be different, please confirm the correct growth rate for the plants.
**For Plant 1:**
\[
h = 2.5 + 410w
\]
Substituting \(w = 3\):
\[
h = 2.5 + 410(3)
\]
\[
h = 2.5 + 1230
\]
\[
h = 1232.5
\]
**For Plant 2:**
\[
h = 2.5 + 15w
\]
Substituting \(w = 3\):
\[
h = 2.5 + 15(3)
\]
\[
h = 2.5 + 45
\]
\[
h = 47.5
\]
**Now, let's find how much taller Plant 1 is than Plant 2:**
\[
\text{Difference} = h_{\text{Plant 1}} - h_{\text{Plant 2}} = 1232.5 - 47.5 = 1185
\]
Thus, Plant 1 is **1185 inches** taller than Plant 2 at the end of Week 3.
However, it seems the options provided are much smaller than this calculated difference. Let's double-check the coefficients in the equations:
The coefficients seem off (it appears there might be a typo). If the correct growth rates are indeed \(410\) for Plant 1 and \(15\) for Plant 2, then \(1185\) is the correct difference. If it should be different, please confirm the correct growth rate for the plants.
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