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GaryK [48]
3 years ago
13

The rate of change ​

Mathematics
1 answer:
marshall27 [118]3 years ago
4 0

Answer:

All have a rate of change of 4.

Step-by-step explanation:

To simplify some things, we're going to be dividing by 10 because that's the separation between each answer. (40-50, 50-60, 60-70, yadda yadda yadda)

From 40 to 50 we have a rate of change of 4, because 40 ÷ 10 = 4, we use 40 because the difference between 0 and 40 is 40.

From 50 to 60 we have a rate of change of 4, because 40 ÷ 10 = 4, we use 40 because the difference between 40 and 80 is 40.

From 60 to 70 we have a rate of change of 4, because 40 ÷ 10 = 4, we use 40 because the difference between 80 and 120 is 40.

From 70 to 80 we have a rate of change of 4, because 40 ÷ 10 = 4, we use 40 because the difference between 120 and 160 is 40

From 80 to 90 we have a rate of change of 4, because 40 ÷ 10 = 4, we use 40 because the difference between 0 and 160 is 200

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5 0
3 years ago
What is the slope of the line that passes through the pair of points (1/3, -1) and ( -2, 9/2)​
UkoKoshka [18]

Answer:

\boxed{m = - \frac{33}{14} }

.

Step-by-step explanation:

Use the form below

\boxed{\boxed{m = \frac{y_2 - y_1}{x_2 - x_1} }}

Where

  • m is a slope
  • (x_1,~y_1) and (x_2,~y_2) are the point of the line

.

So, the slope is

(\frac{1}{3} ,~ -1) \to x_1 = \frac{1}{3} ~and~y_1 = -1

(-2,~ \frac{9}{2} ) \to x_2 = -2~and~y_2 = \frac{9}{2}

.

m = \frac{\frac{9}{2} -(-1)}{-2-\frac{1}{3} }

m = \frac{\frac{11}{2} }{\frac{-7}{3} }

m = \frac{11}{2} \div (-\frac{7}{3} )

m = \frac{11}{2} \times (-\frac{3}{7} )

m = - \frac{33}{14}

.

Happy to help:)

7 0
3 years ago
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V125BC [204]
I hope this was helpful

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