Question

HEEEEELP MEH PLZ

The non-profit organization you volunteer for is throwing a fundraiser cookout. You are in charge of buying the hamburgers, which cost $3.00 per pound and hotdogs, which cost $2.00 per pound. The meat budget you are given totals $600. The inequality 3x + 2y less than or greater to 600 represents the possible combinations of pounds of hamburgers (x) and hotdogs (y) you can buy. Which of the following represents a solution to the inequality?

Answer 1

GRAPH

Answer 2

WHICH OF THE FOLLOWING? WHAT FOLLOWING?

Answer 3

Oops forgot to put the choices

200 pounds of hamburgers and 140 pounds of hotdogs
150 pounds of hamburgers and 60 pounds of hotdogs
100 pounds of hamburgers and 240 pounds of hotdogs
240 pounds of hamburgers and 40 pounds of hotdogs

@.Gjallarhorn.

Answer 4

@radar @mathstudent55 @Michele_Laino @misssunshinexxoxo

Answer 5

for example, if we use data from the first option, we get:
\[3 \times 200 + 2 \times 140 = ...?\]

Answer 6

880? @Michele_Laino

Answer 7

which is greater than 600, so the first option is not the right option

Answer 8

now, using data from your second option, we get:
\[3 \times 150 + 2 \times 60 = ...?\]

Answer 9

570? @Michele_Laino

Answer 10

Correct! Being 570 less than 600, what can you conclude?

Answer 11

-30? im right?

Answer 12

@Michele_Laino

Answer 13

please wait a moment, I'm pondering....

Answer 14

I think that your problem asks for all pairs (x,y) such that the subsequent condition
3x+2y < 600 is checked

Answer 15

being 570 less than 600, then we can conclude that the pair (x=150, y=60) checks our condition above

Answer 16

for example if we use data from the third option we get:
3*100+ 2*240= 780 which is greater than600, so the third pair, doesn't check our condition

Answer 17

now, if we use data from the fourth option, we get:
3*240 + 2*40 = 720+80= 800> 600
so, also the pair (x=240, y=40) doesn't check our condition

Answer 18

so, what is the pair which checks our condition?

Answer 19

:c

Answer 20

@inkyvoyd Help?

Answer 21

@Vocaloid >.<

Answer 22

@brynndelyn

Answer 23

@freckles

Answer 24

@calcmathlete

Answer 25

You're trying to satisfy \(3x+2y \le600\), where x is the pounds of hamburgers and y is the pounds of hot dogs. Basically, go through each of the answer choices and check to see which satisfy the equation. Does that make sense?

Answer 26

*the inequality

Answer 27

Ah I see. Thanks! @Calcmathlete

Answer 28

No problem. :)