The circle graph shows the preferences of town residents for the new playground equipment in a park

If 240 residents responded to the survey, how many residents preferred each type of playground equipment


Swings:

residents

Sandbox: residents



Obstacle course: residents


The Circle Graph Shows The Preferences Of Town Residents For The New Playground Equipment In A Park If 240 Residents Responded To The Survey How Many Residents class=

Answer :

Answer:

swings: 120 (50%)

obstacle course: 80 (1/3)

sandbox: 40

Step-by-step explanation:

we know by looking, that swings makes up 50%, so we divide 240 by 2 to get 120

the obstacle course makes up one-third, 1/3 of 240 is 80

add 120+80 to get 200

to find the sandbox amount, do 240 minus 200 and we get 40

The circle graph is used to show how variables measure against one another using a circle of different sectors.

There are 40 residents in sandbox, 80 in obstacle course, and 120 in the swings

The number of residents is given as:

[tex]n = 240[/tex]

From the given circle graph, we have the following proportions

[tex]Sandbox = 1/6n[/tex]

[tex]Obstacle = 1/3n[/tex]

[tex]Swings= 1/2n[/tex]

So, the number of residents in each equipment is:

[tex]Sandbox = \frac 16 \times 240[/tex]

[tex]Sandbox = 40[/tex]

[tex]Obstacle = \frac 13 \times 240[/tex]

[tex]Obstacle = 80[/tex]

[tex]Swings =\frac 12 \times 240[/tex]

[tex]Swings =120[/tex]

Hence, there are 40 residents in sandbox, 80 in obstacle course, and 120 in the swings

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