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Irina18 [472]
3 years ago
11

what is the rate of change for the linear relationship modeled in the table? x y −1 10 1 9 3 8 5 7 -1/2 0 1/2 2

Mathematics
2 answers:
Vesnalui [34]3 years ago
7 0

Answer:

Rate of change for the linear relationship modeled is \dfrac{-1}{2}

Step-by-step explanation:

As the there is a linear relationship in the points, so all these points will be on a single straight line. Hence the slope will be same throughout all the points.

We know that, the slope of the line joining (x₁, y₁) and (x₂, y₂) is,

m=\dfrac{y_2-y_1}{x_2-x_1}

Putting the points as (-1, 10) and (1, 9), we get

m=\dfrac{9-10}{1-(-1)}

=\dfrac{9-10}{1+1}

=\dfrac{-1}{2}

Rate of change is the slope of the line joining all these points.

Nadusha1986 [10]3 years ago
7 0
(-1,10)(1,9)
slope = (9 - 10) / (1 - (-1)
slope = -1/2 <=== slope is also ur rate of change
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7 0
3 years ago
given the arithemtic or geometric sequence, identify f(0) and the common difference/ ratio f(x) = f(x-1) multiplied by 6;f(1)=12
maria [59]

<u>Answer: </u>

Required value of f(0) = 2 and common ratio of given geometric sequence is 6.

<u>Solution: </u>

Given sequence rule for geometric sequence is f(x) = f(x-1) multiplied by 6 that is,

f(x) =6(f(x-1))   .

Also given that f(1) = 12 .

We need to determine f(0) and common ratio.

Calculating f(0) :

On substituting x = 1 in given sequence rule, we get  

f(1) = 6(f(1-1))  

f(1) = 6(f(0))

f(0) = \frac{f(1)}{f(6)}  

Given that f(1) = 12, substituting in above expression we get

so f(0) = \frac{12}{6} = 2  

Calculation common ratio:

On substituting x = 2 in given sequence rule, we get  

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\frac{f(2)}{f(1)} = 6

And \frac{f(2)}{f(1)} is nothing but common ratio.

Hence required value of f(0) = 2 and common ratio of given geometric sequence is 6.

7 0
3 years ago
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