Which of the following equations describes the line shown below? Check all
1 answer:
Answer:
C and D
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Calculate m using the slope formula
m =
with (x₁, y₁ ) = (- 3, - 6) and (x₂, y₂ ) = (9, 3) ← 2 points on the line
m = =
=
Using (a, b ) = (9, 3 ) , then
y - 3 = (x - 9) → C
Using (a, b ) = (- 3, - 6 ), then
y - (- 6) = (x - (- 3) ) , that is
y + 6 = (x + 3) → D
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Answer:
The number of people who paid $ 12 for reserved seat is 5,000
The number of people who paid $ 4 for general seat is 29,000
Step-by-step explanation:
Given as :
The total number of people attending a ballgame = 34,000
The total receipt of the ticket's seat = $ 176,000
The amount pad for reserved seat = $ 12
The amount paid for general admission = $ 4
Let The number of people for reserved seat = r
And The number of people for general admission = g
Now, According to question
The total number of people attending a ballgame = The number of people for reserved seat + The number of people for general admission
or, r + g = 34,000 ...........1
The total receipt of the ticket's seat = The amount pad for reserved seat × The number of people for reserved seat + The amount paid for general admission × The number of people for general admission
Or, $ 12 × r + $ ×4 g = $ 176,000 .........2
or, $ 12 × ( r + g ) = $ 12 × 34000
Or, $ 12 r + $ 12 g = $ 408,000
Solving equation
( $ 12 r + $ 12 g ) - ($ 12 r + $ 4 g ) = $ 408,000 - $ 176,000
Or, ( $ 12 r - $ 12 r ) + ( $ 12 g - $ 4 g ) = $ 232,000
Or 0 + 8 g = 232,000
∴ g =
I.e g = 29,000
So , The number of people for general admission = g = 29,000
Put the value of g in Eq 1
I.e r + g = 34,000
or , r = 34,000 - g
∴ r = 34000 - 29000
I.e r = 5,000
So, The number of people for reserved seat = r = 5,000
Hence The number of people who paid $ 12 for reserved seat is 5,000
And The number of people who paid $ 4 for general seat is 29,000 Answer