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goldfiish [28.3K]

4 years ago

8

If you know two points on a line, how can you find the rate of change of the variables being graphed?

1 answer:

Dmitrij [34]4 years ago

5 0

The rate of change refers to the rate at which the independent variable is changing as the dependent variable changes. You will find the independent variable on the y-axis and the dependent variable on the x-axis.
Then, pick two points.You will sub them into the equation.
$rate of change = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$

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The revenue, in dollars, of a company that makes toy cars can be modeled by the polynomial 3x2 + 4x – 60. The cost, in dollars,

sladkih [1.3K]

That would be

3x^2 + 4x - 60 - (3x^2 - x + 200)

= 4x - 60 + x - 200

= 5x - 260 Answer

6 0

4 years ago

Which function best fits the following points?

Goryan [66]

Given:

The graph of a scatter plot.

To find:

The function that best fits the given points.

Solution:

From the given graph it is clear that the linear function is the best fit for the given points because the points lie on a straight line or near to it.

So, options B and C are incorrect because they represent exponential and quadratic function respectively.

Let as assume the two points on the graph are (0.80,-12.82) and (2,-12.79).

Using this two points, the equation of line is:

$y-(-12.82)=\dfrac{-12.79-(-12.82)}{2-0.80}(x-0.80)$

$y+12.82=\dfrac{-12.79+12.82}{2-0.80}(x-0.80)$

$y+12.82=0.025(x-0.80)$

$y+12.82=0.025x-0.02$

$y=0.025x-0.02-12.82$

$y=0.025x-12.84$

$y=-12.84+0.025x$

It is the approximate function to the function that is in option A.

Therefore, the correct option is A.

5 0

3 years ago

Can someone help me solve the inequality-2x+4>8 with the steps? Thanks

stellarik [79]

$\huge\text{Hey there!}$

$\rm{-2x + 4 > 8}$

$\large\textsf{SUBTRACT 4 to BOTH SIDES}$

$\rm{-2x + 4 - 4 > 8 - 4}$

$\large\textsf{CANCEL puts 4 - 4 because that gives you 0}$

$\large\textsf{KEEP: 8 - 4 because that helps solve for the x-value}$

$\rm{8 - 4 = \boxed{\bf 4}}$

$\rm{NEW\ EQUATION: -2x > 4}$

$\large\textsf{DIVIDE -2 to BOTH SIDES}$

$\mathsf{\dfrac{-2}{-2}>\dfrac{4}{-2}}$

$\mathsf{CANCEL\ out: \dfrac{-2}{-2}\ because\ that\ gives\ you\ 1}$

$\mathsf{KEEP: \dfrac{4}{-2} \ because \ it \ helps \you \ compare\ to \ the \ x-value }$

$\mathsf{\dfrac{4}{-2} = \boxed{\bf -2}}$

$\rm{\bold{x < -2 }}$

$\rm{It\ is \ an\ O PENED \ circle \ shaded \ to \ the \ left \ side \ of \ the \ number \ line}$

$\boxed{\boxed{\large\textsf{Answer: } \mathsf{\bf x < -2}}}\huge\checkmark$

$\large\text{Good luck on your assignment and enjoy your day!}$

~ $\frak{Amphitrite1040:)}$

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