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kobusy [5.1K]
3 years ago
8

Naomi plotted the graph below to show the relationship between the temperature of her city and the number of popsicles she sold

daily:
A scatter plot is shown with the title Naomis Popsicle Stand. The x axis is labeled High Temperature, and the y-axis is labeled Number of Popsicles Sold. Data points are located at 90 and 20, 85 and 17, 70 and 14, 75 and 20, 60 and 16, 50 and 14, 60 and 12, 40 and 10, 50 and 12, 80 and 8.

Part A: In your own words, describe the relationship between the temperature of the city and the number of popsicles sold. (2 points)
Part B: Describe how you can make the line of best fit. Write the approximate slope and y-intercept of the line of best fit. Show your work, including the points that you use to calculate the slope and y-intercept. (3 points)
Mathematics
1 answer:
DiKsa [7]3 years ago
4 0

Answer:

Answer:

A.  The temperature of the city and the number of popsicles sold are positively correlated

B.

Slope: 0.1233

Y-Intercept: 6

Step-by-step explanation:

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maxonik [38]

Based on the given variation, y does not vary directly with x and the constant of variation are 8, 3.2 and 1.25 respectively.

<h3>Variation</h3>

y = k × x

where,

k = constant of proportionality

y = -40

x = -5

y = k × x

-40 = k × -5

-40 = -5k

k = -40/-5

k = 8

when,

y = 8 and x = 2.5

y = k × x

8 = k × 2.5

8 = 2.5k

k = 8/2.5

k = 3.2

when,

y = 5 and x = 4

y = k × x

5 = k × 4

5 = 4k

k = 5/4

k = 1.25

Learn more about variation:

brainly.com/question/6499629

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5 0
2 years ago
What equation in slope intercept form represents the line that passes through the two points?
Alex787 [66]

Answer:

y = -9x +52

Step-by-step explanation:

Given

(x_1.y_1) = (5,7)\\

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Required

Determine the equation in slope intercept form

First, we calculate the slope of the line:

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

This gives:

m = \frac{7 - (-2)}{5 - 6}

m = \frac{7 +2}{-1}

m = \frac{9}{-1}

m = -9

Th equation is then calculated using:

y - y_1 = m(x - x_1)

This gives:

y - 7 = -9(x - 5)

Open bracket

y - 7 = -9x +45

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y = -9x +45+7

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7 0
3 years ago
A university designs its campus with a master plan of two concentric circles. All of the academic buildings are within the inner
Paul [167]

Answer:

x^2+y^2=36100000

Step-by-step explanation:

Here it is mentioned that the there are two concentric circles this means that they have the same center.

The center of the circles are the origin (0,0).

Radius of the outer circle is

r=\dfrac{3800}{2}=1900\ \text{m}

Equation of a circle

(x-a)^2+(y-a)^2=r^2

where

a\ \text{and}\ b\ \text{are the}\ x\ \text{and}\ y\ \text{coordinates of the center}

r=\text{Radius of the circle}

Here the equation will be

(x-0)^2+(y-0)^2=1900^2\\\Rightarrow x^2+y^2=3610000

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Which expression is equivalent to 510•55
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