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horsena [70]
2 years ago
9

Tickets to a play cost $10 at the door and $8 in advance. The theater club wants to raise at least $800 from the sale of the tic

kets from the play. Write and graph an inequality for the number of tickets the theater club needs to sell. If the club sells 40 tickets in advance how many does it need to sell at the door to reach its goal? use x to represent the number of tickets sold at the door. use y to represent the number of tickets sold in advance.
Write and graph an inequality for the number of tickets the theater club needs to sell. Use x to represent the number of tickets sold at the door and y to represent the number of tickets sold in advance.
Mathematics
1 answer:
jenyasd209 [6]2 years ago
6 0

Standard form:

10x + 8y < 800

Slope intercept form:

y < (-5/4)x + 100

Slope: -5/4

y-intercept: 100

Hope this helps

TT - dravenfact8

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[30 POINTS] Please help!!!
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Answer:

Part 1) y=1.5x+5  

Part 2) y=-(2/3)x-(11/3)

Part 3) y=0.25x+2.75    

Part 4) y=-2x+5  

Part 5) y=0.5x-1  

Part 6) The graph in the attached figure

Step-by-step explanation:

Part 1) we have

m=3/2=1.5

point(-2,2)

The equation of the line into point slope form is equal to

y-y1=m(x-x1)

substitute

y-2=1.5(x+2)

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y=1.5x+5

Part 2) we know that  

If two lines are perpendicular

then

the product of their slopes is equal to minus one

so

m1*m2=-1

the slope of the line 1 is equal to

m1=1.5

Find the slope m2

1.5*m2=-1

m2=-2/3

Find the equation of the line 2  

we have

m2=-2/3

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The equation of the line into point slope form is equal to

y-y1=m(x-x1)

substitute

y-1=(-2/3)(x+7)

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Part 3) we have

m=1/4=0.25

point(1,3)  

The equation of the line into point slope form is equal to

y-y1=m(x-x1)

substitute

y-3=0.25(x-1)

y=0.25x-0.25+3

y=0.25x+2.75

Part 4) we have

m=-2

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we know that

The equation of the line into slope intercept form is equal to

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substitute the values

y=-2x+5

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The slope of the line 4 is equal to -2

so

the slope of the line perpendicular to the line 4 is equal to

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therefore

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m=0.5

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Part 6)

using a graphing tool

see the attached figure

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