NO LINKS!! Help me please​

Answer:

     y = 7·1.5^x

Step-by-step explanation:

To find the parameters of the exponential function, substitute the given point values and solve the resulting equations for the parameters.

The form you want to find the parameters of is ...

  y = ab^x

__

For (x, y) = (1, 10.5)

  10.5 = ab^1

For (x, y) = (3, 23.625)

  23.625 = ab^3

__

The value of 'b' can be found by dividing the second equation by the first:

  [tex]\dfrac{23.625}{10.5}=\dfrac{ab^3}{ab^1}\\\\2.25 = b^2\\\\b=\sqrt{2.25}=1.5[/tex]

Then the value of 'a' can be found by substituting for b in the first equation:

  10.5 = a(1.5^1)

  a = 10.5/1.5 = 7

The exponential function is ...

  y = 7·1.5^x

Answer:

[tex]y=7 (1.5)^x[/tex]

Step-by-step explanation:

General form of an exponential function:  [tex]y=ab^x[/tex]

where:

If [tex]b > 1[/tex] then it is an increasing function

If [tex]0 < b < 1[/tex] then it is a decreasing function

Given:

Substitute these ordered pairs into the general form of the exponential function:

Equation 1:   [tex]ab^1=10.5[/tex]

Equation 2:   [tex]ab^3=23.625[/tex]

To find [tex]b[/tex], divide Equation 2 by Equation 1:

[tex]\implies \dfrac{ab^3}{ab^1}=\dfrac{23.625}{10.5}[/tex]

[tex]\implies b^2=2.25[/tex]

[tex]\implies b=\sqrt{2.25}[/tex]

[tex]\implies b=1.5[/tex]

Now substitute found value of [tex]b[/tex] into one of the equations to find [tex]a[/tex]:

[tex]\implies ab=10.5[/tex]

[tex]\implies 1.5a=10.5[/tex]

[tex]\implies a=\dfrac{10.5}{1.5}[/tex]

[tex]\implies a=7[/tex]

Therefore, the final exponential equation is:  [tex]y=7 (1.5)^x[/tex]

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The purpose of the sales director’s study is to determine whether attending the training program caused an increase in sales for representatives from the two regions. So the sales director collected sales data from both groups (those receiving training and those receiving no training) for three months after the one-month program and compared the number of orders secured by those who attended the training program with the number of orders secured by those who didn’t attend.

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Question
Select the correct answer from each drop-down menu.

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Part B
Suppose there are 1,000 total sales representatives in the Midwest and Northeast regions, with 500 sales reps in each region. Describe the best way for the sales director to include 200 sales representatives, with an equal number from each region and an equal number in each group, while yielding valid conclusions in the study.

Type your response in the box.







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Question 2
For three months after the training program, the sales director collected the sales data for the 200 sales representatives from the Midwest and Northeast regions. The director then broke down the number of sales orders for the representatives according to whether they received training or not. This data is shown in the table.

Three Months’ Sales Orders​
Training​​ No Training​
Midwest 234 196
Northeast 252 178
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Use the data shown in the table to complete each statement.

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For the Midwest region, the average number of sales orders per representative for the group that had training is more than the average number of sales per representative for the group that had no training.

For the Northeast region, the average number of sales orders per representative for the group that had training is more than the average number of sales per representative for the group that had no training.

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