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kvv77 [185]
3 years ago
10

For an exponential regression equation in the form y=ab^x which of the following values of b will cause y to get smaller as x ge

ts larger?
a.) 1.526
b.) 1.798
c.) 2.526
d.) 0.798
Mathematics
2 answers:
Murljashka [212]3 years ago
6 0

Answer:

Correct answer is option d.

Step-by-step explanation:

In exponential regression in the form y = ab∧x , the value of b which will cause y to get smaller as x get larger is the value with decimals and less than one. In the given options we have value less than one is option d which is 0.798. Therefore, correct answer for given question is option d that is 0.798.

sdas [7]3 years ago
5 0

Answer:

d) 0.798

Step-by-step explanation:

Since we know that an exponential function is in form: y=a*b^x, where,

a= Initial value,

b = For growth b is in form (1+r), where r is rate in decimal form.

b = For decay or regression b is less than 1 and in form (1-r), where r is rate in decimal form.

Upon looking at our given choices we can see that options a, b and c are in form 1+r, while choice provided in option d is less than 1 and in form 1-r, therefore, option d is the correct choice.

 

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A line goes through the points (4,16) Ana (7,19). Write a linear function rule in terms of x and y for this line
Eva8 [605]

Linear function rule in terms of x and y for this line is y = x + 12

<em><u>Solution:</u></em>

Given that a line goes through the points (4, 16) and (7, 19)

To find: linear function rule in terms of x and y for this line

A linear function is a function of the form f(x) = ax + b, where a and b are real numbers. Here, a represents the slope of the line, and b represents the y-axis intercept

<em><u>The slope intercept form is given as:</u></em>

y = mx + c

Where "m" is the slope of line and "c" is the y - intercept

Let us first find slope of line

<em><u>The slope "m" of a line is given as:</u></em>

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

\text {Here } x_{1}=4 \text { and } x_{2}=7 \text { and } y_{1}=16 \text { and } y_{2}=19

m=\frac{19-16}{7-4}=\frac{3}{3}=1

Thus the slope of line is 1

Substitute m = 1 and (x, y) = (4, 16) in y = mx + c

16 = 1(4) + c

c = 16 - 4 = 12

Substitute c = 12 and m = 1 in slope intercept form

y = 1x + 12

y = x + 12 is the required linear function rule

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3 years ago
A line passes through (3, -3) and has a slope of 3. What is an equation of the line ???
yanalaym [24]

Answer:

y=3x-3

Step-by-step explanation:

y=mx+b

m=slop

b=y intercept

7 0
2 years ago
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