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Naya [18.7K]
3 years ago
12

The following chart shows the number of rows in an auditorium and the total number of seats. What equation defines the number of

seats with respect to the number of rows.
a) S=20R+100
b) S=40R+120
c) S=20R+60
d)S=20R

Mathematics
1 answer:
Anastaziya [24]3 years ago
5 0

Answer:

<em>Answer: c) S=20R+60</em>

Step-by-step explanation:

<u>Linear Model</u>

The chart supplied shows the number of rows (R) in an auditorium and the total of seats (S).

We'll find the equation that relates them. The equation of a line can be expressed in the slope-intercept form:

S = mR + b

Where m is the slope and b is the intercept.

The slope is found by:

\displaystyle m=\frac{S_2-S_1}{R_2-R_1}

We'll use two sample points (20,460) and (45,960):

\displaystyle m=\frac{960-460}{45-20}=\frac{500}{25}

m = 20

The value of b can be found by using one of the points, for example (20,460), and having m=20:

460 = 20*20 + b

Thus: b = 460 - 400 = 60.

The equation is:

S = 20R + 60

You can test the other points and check they belong to the same line.

Answer: c) S=20R+60

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A cylinder has a base diameter of 14m and a height of 10m. What is its volume in cubic m, to the nearest tenths place?
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Answer:

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Step-by-step explanation:

Hello, I can help you with this

to solve need  we will need these two equations

Step one

Remember

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Area=\pi *\frac{diameter^{2} }{4}\\

Also, the volume of the cylinder

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Step 2

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Let

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I hope it helps,have a great day.

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The point (2,7) is successfully reflected across the x-axis then y-axis and than the x-axis again. What is the area of the recta
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Step-by-step explanation:

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