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grandymaker [24]
3 years ago
7

For the past ten years, Michelle has been tracking the average annual rainfall in Boynton Beach, Florida by recording her data i

n the given table. She has concluded that the relationship can be modeled by a linear function. Year 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 Average Rainfall(in inches) 62.33 61.8 61.27 60.74 60.21 59.68 59.15 58.62 58.09 57.56 Based on the data provided in Michelle's table, use complete sentences to explain how the average rate of change in Boynton Beach's rainfall for the years 2004-2013 can be found. Use the data provided in the table to calculate the average rate of change in precipitation. Use complete sentences to explain what the average rate of change means in terms of the average rainfall.
Mathematics
1 answer:
Sedbober [7]3 years ago
4 0

Answer:

See explanation

Step-by-step explanation:

The average rainfall when you add all 10 years of rainfall up and divide by 10 is an average of 59.946 inches of rain each year. The equation for the data is y = -0.53x + 64.45, this means that the rainfall is getting less each year at a -0.53 inches of rain each year.

x = year (2004 would be 4, etc)

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Formulate but do not solve the following exercise as a linear programming problem. Kane Manufacturing has a division that produc
earnstyle [38]

Answer:

z  - 2*x   -  1.5*y   =  0   maximize

subject to:

3*x  +  5*y   ≤  800

8*x  + 3*y   ≤   1200  

x, y  >  0

Step-by-step explanation:

Formulation:

Kane Manufacturing produce  x  units of model A (fireplace grates)

and  y units of model B

                  quantity   Iron cast lbs    labor (min)   Profit $    

Model  A          x               3                      8                  2

Model  B          y               5                      3                  1.50

We have   800 lbs of iron cast  and 1200 min  of labor available

We need to find out how many units  x  and units y per day to maximiza profit

First constraint   Iron cast lbs     800 lbs

3*x  +  5*y   ≤  800             3*x  +  5*y  +  s₁   =  800

Second constraint  labor    1200 min available

8*x  + 3*y   ≤   1200              8*x  + 3*y           + s₂  =  1200  

Objective function

z  =  2*x  +  1.5*y         to maximize    z  - 2*x   -  1.5*y   =  0  

x > 0   y  >  0

The first table is  ( to apply simplex method )

z         x        y       s₁      s₂       Cte

1        -2       -1.5     0      0          0

0        3         5       1       0        800

0        8         3       0       1       1200

7 0
4 years ago
Help pretty please!!!! >.
galina1969 [7]
When it’s negative change it to a positive and vice versa. 0 stays 0
8 0
3 years ago
Please answer correctly !!!!!!!!! Will mark brainliest !!!!!!!!!
Dvinal [7]

Answer:

13x - 8y

Step-by-step explanation:

Step 1: Write expression

(6x - y) + (7x - 7y)

Step 2: Combine like terms

13x - 8y

5 0
3 years ago
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