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:
We'll use two sample points (20,460) and (45,960):
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
<h3>Hello there!</h3>
The first thing we need to do here is see which information is relevant.
The question is asking for the ratio of books to pencils.
Therefore, we only need the number of books and pencils - all other information given is irrelevant in this scenario.
Number of books - 4
Number of pencils - 7
Now, we can order this as a ratio.
A ratio is two numbers put as a proportion. It's normally written out as first number : second number.
In this case, it's the ratio of number of books : number of pencils.
Fill in the number of books and number of pencils into each side of the equation.
number of books : number of pencils
4 books : 7 pencils (the unit is normally dropped)
So therefore, 4:7 would be your final answer.
Hope this helped!
Answer:
x = 3
Step-by-step explanation:
We can solve this by using ratios of similar triangles
3 x
------ = ------------
3+9 12
3 x
------ = ------------
12 12
x must equal 3 to keep the ratios the same
Answer:
Interest rate: 9%
Step-by-step explanation:
Using the simple interest formula: A=P(1+rt)
A=Final amount
P=Principal amount
r=rate
t=time (years)
We just need to put in the information we have from the question and solve for r.
7,620=6000(1+r3)
7,620/6000=1+r3
1.27=1+r3
0.27=r3
r=0.09
r=9%
Answer:
(-4, 2.5)
Step-by-step explanation:
-8/2=-4
5/2=2.5
