Answer:

Step-by-step explanation:
The point-slope form of an equation of a line:

m - slope
(x₁, y₁) - point
We have the slope m = 2 and the point (-7, 5) → x₁ = -7, y₁ = 5.
Substitute:

Convert to the slope-intercept form (y = mx + b):
<em>use distributive property</em>
<em>add 5 to both sides</em>

Answer:
(6,0)
Step-by-step explanation:
X-value:
10-8=2
8-2=6
Y-value
4-2=2
2-2=0
Here's the equation for one year:
0.06(6500) + 6500
But because it is 25 years:
25(0.06(6500)) + 6500
1.5(6500) + 6500
We can make it simpler:
2.5(6500)
The total amount is $16350
Answer:
Plant B
Step-by-step explanation:
The only measure of variation we really need to check is the mean, or average, of tomatoes that each plant produced. This is because if Kathryn was a farmer, she would want a plant that on average, produces more tomatoes. For that reason, in this context, the mode, median and range are irrelevant. To find the mean of a data set, you simply divide the sum of all of the data by the number of data in the set. Therefore:
Mean of Plant A: (4 + 6 + 7 + 3 + 6 + 2 + 1 + 3 + 6 + 5) / 10 = 43 / 10 = 4.3
Mean of Plant B: (5 + 6 + 7 + 6 + 8 + 9 + 6 + 7 + 8 + 9) / 10 = 71 / 10 = 7.1
As you can see, the mean tomatoes Plant B produces is larger than that of Plant A, therefore, Kathryn should choose Plant B if she was a farmer.