Meg plotted the graph below to show the relationship between the temperature of her city and the number of people at a swimming pool:

Main title on the graph is Swimming Pool Population. Graph shows 0 to 30 on x axis at increments of 5 and 0 to 12 on y axis at increments of 1. The label on the x axis is Temperature in degree C, and the label on the y axis is Number of People at the Pool. Dots are made at the ordered pairs 2.5, 1 and 5, 2 and 7.5, 2 and 7.5, 3 and 7.5, 4 and 10, 5 and 10, 6 and 12.5, 6 and 15, 7 and 15, 8 and 17.5, 5 and 17.5, 7 and 20, 9 and 22.5, 7 and 22.5, 9 and 25, 11 and 27.5, 12.
Part A: In your own words, describe the relationship between the temperature of the city and the number of people at the swimming pool. (5 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 slope and y-intercept. (5 points)

Answers

Answer 1

Answer:

Step-by-step explanation:

Part A: Based on the given graph, we can observe that as the temperature of the city increases, the number of people at the swimming pool generally tends to increase as well. This suggests a positive correlation between temperature and the pool's population. In other words, when it gets hotter, more people are likely to visit the swimming pool. The relationship is not strictly linear, but it shows a general trend of increasing pool population with increasing temperature.

Part B: To determine the line of best fit, we can calculate the approximate slope and y-intercept using the given data points. Let's select two points from the data, such as (2.5, 1) and (12, 12):

Slope (m) = (change in y) / (change in x)

= (12 - 1) / (12 - 2.5)

= 11 / 9.5

≈ 1.16

To find the y-intercept (b), we can choose one of the points and substitute the values into the slope-intercept form (y = mx + b). Let's use the point (2.5, 1):

1 = 1.16 * 2.5 + b

1 = 2.9 + b

b ≈ -1.9

Therefore, the approximate slope of the line of best fit is 1.16, and the approximate y-intercept is -1.9.

Related Questions

Please help explain. I’ve came up with 3 wrong answers

Answers

The answer is skdkdksjxsjdjsj hope this is what your looking for

Answer:

step 1. The volume of a cylinder (V) = (pi)R^2(h).

step 2. if the volume of a similar cylinder is 88ft^3 with R =2ft

step 3. then the cylinder with R = 5 would be (5/2)^2 bigger.

step 4. the volume of figure A is 88(5/2)^2

step 5. V = 88(5/2)^2 = 550ft^3.

In the slope 3/7, the 7 indicates to

Answers

Rise over run, so the seven indicates a change in 7 spaces to the right.

hi guys

i need help only 19

Answers

y = 2/3x + 11/3

slope: (y2-y1)/(x2-x1) = (5-3)/(2- -1) = 2/3

point intercept form: (y-y1) = m (x-x1)
(y-3) = 2/3 (x+1)

solve for y
y-3 = 2/3x + 2/3
y = 2/3x + 11/3

The graph shows the number of each size T-shirt a store currently has in stock. Which statements are true?

Choose exactly two answers that are correct.

Question 3 options:

The ratio of large to small T-shirts is about 4 to 1.

There are more than 35 small and extra small T-shirts.

There are about twice as many large T-shirts as small T-shirts.

There are fewer than 100 T-shirts in all.

Answers

Answer:

medium, extra large

Step-by-step explanation:

BRAINLIEST PLEASE

there are fewer then 100 t shirts
the ration of large to small tshirts is about 4 to 1
they are both correct

worth 30 points !!!!!

Answers

Answer:

Step-by-step explanation:

the line model shows 2 halfs of 4/10

The answer should be a

What is the slope of the line that contains these points? xxx -4−4minus, 4 -3−3minus, 3 -2−2minus, 2 -1−1minus, 1 yyy 222 555 888 111111

Answers

Given:

The table of values is

x y

-4 2

-3 5

-2 8

-1 11

To find:

The slope of the line that contains these points.

Solution:

From the given table consider any two point.

Let the line passes through the points (-4,2) and (-3,5). So, the equation of the line is

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

[tex]y-2=\dfrac{5-2}{-3-(-4)}(x-(-4))[/tex]

[tex]y-2=\dfrac{3}{-3+4}(x+4)[/tex]

[tex]y-2=\dfrac{3}{1}(x+4)[/tex]

Using distributive property, we get

[tex]y-2=3x+12[/tex]

[tex]y=3x+12+2[/tex]

[tex]y=3x+14[/tex]

Therefore, the required equation of line is [tex]y=3x+14[/tex].

Answer: The slope is 1/5.

Step-by-step explanation:

You can find the answer by subtracting 6-1, (5) and 0-1,(1), which shows you 1/5. (Explanation sucks, sorry)

How many solutions does the system have?
You can use the interactive graph below to find the answer.
4x – 10y = –20
6x – 15y = -30

Answers

Answer:

Infinitely many solutions

Step-by-step explanation:

Answer:

infinitely many solutions

Step-by-step explanation:

cause khan academy said so

B is the midpoint of AC and AC=8r-20,and AB=3x-1
Find BC

Answers

Answer:

BC = 26

Step-by-step explanation:

since B is the midpoint of AC, then AB = BC

AC = 8x - 20 & AB = 3x - 1

AC = AB + BC or 2AB

8x - 20 = 2(3x - 1)

8x - 20 = 6x - 2

subtract 6x form each side

2x - 20 = -2

add 20 to each side

2x - 20 + 20 = -2 + 20

2x = 18

x = 9

BC = 3x - 1

BC = 27 - 1

BC = 26

AC = 52

can someone help me find the area and perimeter please?

Answers

Answer:

Step-by-step explanation:

Remember that the formula to get the area of a right triangle is base times height divided by 2, so to find the area:

5 x 12 = 60/2 = 30

Area of this triangle is 30.

To find the perimeter, add all the sides:

5 + 12 + 13 = 30.

Perimeter of this triangle is 30.

10 points
8. The ring system around Saturn has a diameter of 170,000 miles. Find
the circumference around the ring system, to the nearest whole number.
If Saturn diameter is 72,367 miles. What is the area of Saturn to the
nearest Whole number? *

Answers

Kfkfkkfkdkdkdkkd24.006

What is the volume of this?

Answers

Answer:

1728 m³

Step-by-step explanation:

[tex]A_{triangle}[/tex] = [tex]\frac{7.2*4.8}{2}[/tex] = 172.8 m²

V = 172.8 × 10 = 1728 m³

why is it difficult to find fossilized plants and animals in the same place

Answers

Answer: because the conditions to generate a fossil for an animal is very different from the conditions required for a plant.

Step-by-step explanation:

it is D

Answer:

Step-by-step explanation:

i think thats right. hope this helps

THIS IS GEOMETRY I ONLY ahve 10 MINUTES PLEASE HELP THANK U

Answers

Answer:

i need a photo or an equation TvT

Step-by-step explanation:

TvT TvT TvT

There’s not question thought :/

Un alumno del bachillerato distribuye su tiempo durante un día de la manera siguiente: en aseo 1/10, para comida 1/15, para estudio 2/5 horas, para diversión 4.4 y para dormir el resto del día ¿cuánto tiempo durmió?

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Answer:

i dont know spanish

Step-by-step explanation:

lol monke live forever

Please help?
(3×+7)+(6+9)

Answers

Answer:

3x+22

Step-by-step explanation:

This might help for future questions as well

What is the image of ( − 3 , − 5 ) after a reflection over the x-axis?

Answers

Answer:

(-3,5)

Step-by-step explanation:

PLease help!! I will give brainliest for the right answer!!

Answers

Answer:

angle CDE is 10 degree

Step-by-step explanation:

As angle C is 90

Angle E is equal to angle B which is 80 (180-100)

so 90+80+X=180

X=180-170

X=10

The system of equations y=-3x+2 and y=1/2x-6 is shown on the graph below

Answers

Answer:

F ( -1,4)

E (-1,2)

G (-4,5)

Step-by-step explanation:

Answer:

on what

.....................

PLSSS HELPPP !!!At least how many square feet of canvas are needed to make one cover? (Use
A 44 ft.2
B 22 ft.2
C 770 ft. 2
D 154 ft.2

Answers

Answer:

154ft.2 witch is d

Step-by-step explanation:

i just know

[tex](9x2-2x+1)-(3x2+5x-8)[/tex]

Answers

Answer:

(6x² - 7x + 9)

Step-by-step explanation:

Given:

(9x² - 2x + 1) - (3x² + 5x - 8)

Find:

Value of equation

Computation:

(9x² - 2x + 1) - (3x² + 5x - 8)

(9x² - 2x + 1 - 3x² - 5x + 8)

(6x² - 7x + 9)

A sales representative for a hardware company receives $8,000 per year plus a 6% commission on total sales. During one year the sales representative's sales totaled $320,000. Find the representatives total earnings for this year

Answers

Answer:p5

65=8poi

Step-by-step explanation:

Write the equation of the line that passes through the points (-4,8) and (-2, -1).
Put your answěr in fully reduced point-slope form, unless it is a vertical or horizontal
line.PLEASEEE HELPPP MEE

Answers

Answer:

y=-9/2x-10

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-1-8)/(-2-(-4))

m=-9/(-2+4)

m=-9/2

y-y1=m(x-x1)

y-8=-9/2(x-(-4))

y-8=-9/2(x+4)

y=-9/2x-36/2+8

y=-9/2x-18+8

y=-9/2x-10

Myra is planning to purchase a recliner that costs 1,490 .the installment plan offered at the furniture store requires a 12% down payment and 20 monthly payments of $71 each .

Answers

Answer:

what is the question?

Step-by-step explanation:

Answer:

okay

Step-by-step explanation:

but whats the question tho u gave us the info so whats the question

The ratio of two number is 4:9.When 5 is subtracted from each of them,the new ratio becomes 3:8. Find the numbers.

Answers

Answer:

The numbers are 20 and 45

Step-by-step explanation:

Let the two numbers be a and b

The ratio of the two is 4:9

That means;

a/b = 4/9

9a = 4b •••••(i)

secondly;

Subtracting 5 from each gives a ratio of 3:8

(a-5)/(b-5) = 3/8

8(a-5) = 3(b-5)

8a - 40 = 3b - 15

3b - 15 + 40 = 8a

3b + 25 = 8a

a = (3b + 25)/8 •••(ii)

Insert this into 1

9(3b + 25)/8 = 4b

27b + 225 = 32b

32b - 27b = 225

5b = 225

b = 225/5

b = 45

From i;

9a = 4b

9a = 4 * 45

a = 4 * 45/9

a = 20

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