Another MATH problem

[lawtchan]

A theater club owner hopes to raise at least $550.00 on tonight's show. Student tickets are $2.75 and adults are $5.50. Write and graph an inequality showing the number of tickets to meet the goal.

My son knows how to graph the equation, but is having trouble determining the equation.

I have know idea:facepalm:

 

[hawkeye]

The key work is inequality:00hour

 

[Sportsaholic]

A theater club owner hopes to raise at least $550.00 on tonight's show. Student tickets are $2.75 and adults are $5.50. Write and graph an inequality showing the number of tickets to meet the goal.

My son knows how to graph the equation, but is having trouble determining the equation.

I have know idea:facepalm:

What state is the Theater Club in...In Maine both parents get suckered in, states like KY & GA there's only one parent because, well you know.....:0008

 

[greggraffin]

A theater club owner hopes to raise at least $550.00 on tonight's show. Student tickets are $2.75 and adults are $5.50. Write and graph an inequality showing the number of tickets to meet the goal.

My son knows how to graph the equation, but is having trouble determining the equation.

I have know idea:facepalm:

Disclaimer* this is how I remember it, could be way off

x = nnumber of student tickets
y = number of adult tickets

raising at least or more then 550 gives

2.75x + 5.5y >= 550

so 2 points of that equation are (200,0) and (0,100)

using those points, we find the slope to be -0.5
slope = -0.5
y intercept = 100

using the formula y = mx + b where m is the slope is and b is the y intercept we get

y = -0.5x + 100

but since we want greater then or equal to an amount we can write it as

y >= -0.5x + 100

 

[greggraffin]

Disclaimer* this is how I remember it, could be way off

x = nnumber of student tickets
y = number of adult tickets

raising at least or more then 550 gives

2.75x + 5.5y >= 550

so 2 points of that equation are (200,0) and (0,100)

using those points, we find the slope to be -0.5
slope = -0.5
y intercept = 100

using the formula y = mx + b where m is the slope is and b is the y intercept we get

y = -0.5x + 100

but since we want greater then or equal to an amount we can write it as

y >= -0.5x + 100

also my graph would hit the x intercept at the 200 point and the y intercept at the 100 mark, i would then connect a solid line(solid because it is greater then or equal to) between those 2 points...I would then shade to the right of that line since we want greater then or equal to 550

 

[The Think Tank]

.....

 

[lawtchan]

Disclaimer* this is how I remember it, could be way off

x = nnumber of student tickets
y = number of adult tickets

raising at least or more then 550 gives

2.75x + 5.5y >= 550

so 2 points of that equation are (200,0) and (0,100)

using those points, we find the slope to be -0.5
slope = -0.5
y intercept = 100

using the formula y = mx + b where m is the slope is and b is the y intercept we get

y = -0.5x + 100

but since we want greater then or equal to an amount we can write it as

y >= -0.5x + 100

Greg, how did you get the 200,0 and 0,100 and how did you calculate the slope =-0.5

Thx again

 

[Nole]

Greg, how did you get the 200,0 and 0,100 and how did you calculate the slope =-0.5

Thx again

Yes, I was wondering the same thing as I'm getting 4?



:0074

 

[zoomer]

Yes, I was wondering the same thing as I'm getting 4?



:0074

:mj07:

 

[greggraffin]

Greg, how did you get the 200,0 and 0,100 and how did you calculate the slope =-0.5

Thx again

based on my equation of 2.75x + 5.5y = 550, i made the x axis kids tickets and y axis is the adult tickets

If i sell 0 kids tickets, I'll have to sell 100 adult tickets to make 550 dollars(hence, 0 on the x axis and 100 on the y axis)


likewise if i sell 0 adult tickets, I'll have to sell 200 kids tickets to make 550 dollars(hence 200 on the x axis, and 0 on the y axis)

so now i have two points on my line (0,100) and (200,0)

to calculate slope you have to do (change in y)/(change in x) which works out to be (100 - 0)/(0-200) which goes to 100/-200 which equals -0.5

you could also calculate it the other way and do (0-100)/(200-0) which also gets you -.5

 

[lawtchan]

based on my equation of 2.75x + 5.5y = 550, i made the x axis kids tickets and y axis is the adult tickets

If i sell 0 kids tickets, I'll have to sell 100 adult tickets to make 550 dollars(hence, 0 on the x axis and 100 on the y axis)


likewise if i sell 0 adult tickets, I'll have to sell 200 kids tickets to make 550 dollars(hence 200 on the x axis, and 0 on the y axis)

so now i have two points on my line (0,100) and (200,0)

to calculate slope you have to do (change in y)/(change in x) which works out to be (100 - 0)/(0-200) which goes to 100/-200 which equals -0.5

you could also calculate it the other way and do (0-100)/(200-0) which also gets you -.5

Thanks Greg
Appreciate the help :0008

 

[Wineguy]

What state is the Theater Club in...In Maine both parents get suckered in, states like KY & GA there's only one parent because, well you know.....:0008

Easy there, big boy. I am from Kentucky and live in GA. I take my Happy Birthday back.