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JulijaS [17]
1 year ago
6

The scatter plot shows the profit by the month for a new company during its first year of operation. Which equation most closely

models the line of best fit for the scatter plot? A) y = 5x B) y = 2.5x C) y = 5x + 1000 D) y = 2.5x + 1000

Mathematics
1 answer:
kondor19780726 [428]1 year ago
7 0

The equation most closely models the line of best fit for the scatter plot is y = 2.5x

<h3>Equation of a line</h3>

A line is the distance between two points. The equation of a line in point-slope form is given as y =mx + b

  • m is the slope
  • b is the intercept


Using the coordinate points on the line (3, 5000) and (9, 20000)

Get the slope

Slope = 20000-5000/9-3
Slope = 15000/6 = 2500

Determine the y-intercept

5000 = 2500(3) + b

b = 5000 - 7500
b = -2500

Determine the equation

y = 2.5x - 2.5

Hence the equation most closely models the line of best fit for the scatter plot is y = 2.5x

Learn more on line plot here: brainly.com/question/8989301

#SPJ1

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lara31 [8.8K]

Answer:

Step-by-step explanation:

Given as :

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Let The speed for running = S_1

The distance cover with bike = D_2 = 80 miles

The speed for biking = S_2 = 15 mph +  S_1

Total Time taken = 5 hours

Now Time = \dfrac{\textrm Distance}{\textrm Speed}

∴ 5 hour = \frac{D_1}{S_1} +  \frac{D_2}{S_2}

Or,  5 hour = \frac{5}{S_1} +  \frac{80}{15+S_1}

Or, 5 hour = \frac{75 + 5 S_1 + 80 S_1}{S_1(15+S_1)}

or,  5 × (S_1^{2}+15 S_1) = 85 S_1 + 75

Or, 5 S_1^{2} + 75 S_1 -  85 S_1 - 75 = 0

or, 5 S_1^{2} -10 S_1 - 75 = 0

or,   S_1^{2} -2 S_1 - 15 = 0

Or, S_1^{2} -3 S_1 + 5 S_1- 15 = 0

Or, S_1 (S_1 - 3) + 5 (S_1 - 3) = 0

Or, (S_1 - 3) ( S_1 + 5 ) = 0

∴ S_1 = 3 , - 5

So, the running speed = 3 mile per hour

And the biking speed = 15 mph + 3 mph = 18 mile per hour

Hence The running speed of Stu is 3 mile per hour  .  Answer

7 0
3 years ago
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tester [92]

Answer:

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Step-by-step explanation:

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for all others i have an attached file :)

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2 years ago
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Well what two numbers multiply to get -8 and add to get -2?
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7 0
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Set up a proportion where number of times is on top and miles is on bottom:
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