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ad-work [718]
3 years ago
8

Is the relationship shown by the data linear? How can you tell if it is or is not? If so, model the data with an equation.

Mathematics
1 answer:
Marat540 [252]3 years ago
4 0

Answer:

linear and y = 2x + 19

Step-by-step explanation:

the x- values increment by 2 and the values of y increment by 4

This indicates a linear relationship exists in the form

y = mx + c ( m is the slope and c the y-intercept )

m = \frac{rise}{run} = \frac{4}{2} = 2

y = 2x + c ← is the partial equation

to find c use any ordered pair from the table

using (- 5, 9 ), then

9 = - 10 + c ⇒ c = 9 + 10 = 19

y = 2x + 19 ← linear equation

As a check

x = - 7 : y = - 14 + 19 = 5 ← correct value of y

x = - 5 : y = - 10 + 19 = 9 ← correct value of y

x = - 3 : y = - 6 + 19 = 13 ← correct value of y

x = - 1 : y = - 2 + 19 = 17 ← correct value of y


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3 years ago
what is the answer to this question: Tadeo volunteered at the library 6 times as many hours over the weekend as Dylan. Together,
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Answer:

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  • Dylan: 2 hours

Step-by-step explanation:

We can let d represent the number of hours that Dylan volunteered. Then Tadeo volunteered for 6d hours, and their total hours were ...

  d +6d = 14

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4 0
2 years ago
Can you answer the questions below
DerKrebs [107]
I think the easiest way to answer all of these is to just go ahead and find the equation of the line first. 

I'm pretty sure that by the time you reach this problem, you've learned to find
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6).  The initial membership fee ... the cost for walking in the door and signing up,
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7).  The cost per month is $35.  (The slope of the line.)

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7 0
3 years ago
What is the approximate area of the regular pentagon?
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Area of the pentagon: 342 cm2

Step-by-step explanation:

The figure of the pentagon is missing: find it in attachment.

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L = 14.1 cm

and the height of each triangle can be found by using Pythagorean's theorem:

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Learn more about area of regular figures:

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