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solmaris [256]
3 years ago
10

Use technology to create an appropriate model of the data.

Mathematics
2 answers:
Citrus2011 [14]3 years ago
7 0

Answer:

f(x) = 3x - 3

Step-by-step explanation:

Plug into TI-83/84 calculator.

Hit STAT

Hit EDIT

X-Values go in for L1

Y-Values go in for L2

Hit STAT

Scroll over to CALC

Hit #4 for LinReg (Finds line of best fit)

Enter all the way through

A is your slope

B is your y-intercept

Lilit [14]3 years ago
4 0

Answer:

f(x)=3x-3  

Step-by-step explanation:

Data : (-2,-9), (0,-3), (1,0), (3,6), (5,12)

Using technology , Plot the points on the calculator .

(Refer the attached figure)

Or

First calculate the slope of given points

m = \frac{y_2-y_1}{x_2-x_1}   ---A

(x_1,y_1)=(-2,-9)

(x_2,y_2)=(0,-3)

Substitute values in A

m = \frac{-3-(-9)}{0-(-2)}

m = \frac{-3+9}{2}

m = \frac{6}{2}

m = 3

(x_1,y_1)=(1,0)

(x_2,y_2)=(3,6)

Substitute values in A

m = \frac{6-0}{3-1}

m = \frac{6}{2}

m = 3

Since the slopes are same .

So, the the given data is a linear function.

Now to obtain the equation for data we will use two point slope form.

y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)   ---B

(x_1,y_1)=(-2,-9)

(x_2,y_2)=(0,-3)

Substitute values in B

y+9= \frac{-3-(-9)}{0-(-2)}(x+2)  

y+9= \frac{6}{2}(x+2)  

y+9=3(x+2)  

y+9=3x+6  

y=3x+6-9  

y=3x-3  

So, f(x)=y=3x-3  

Thus Option B is true .

Hence the required equation is  f(x)=3x-3  

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