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Juan visited a candy store and purchased 7 pounds of candy consisting of Atomic Fireballs and Gummi Bears. Atomic Fireballs cost $4.25 per pound and Gummi Bears were on sale for $1.25 per pound. Juan spent a total of $14.75, before taxes. Let x represent the number of pounds of Atomic Fireballs and y represent the number of pounds of Gummi Bears uan purchased. Which of the following graphically represents this situation?

Juan visited a candy store and purchased 7 pounds of candy consisting of Atomic Fireballs and Gummi Bears Atomic Fireballs cost 425 per pound and Gummi Bears we class=
Juan visited a candy store and purchased 7 pounds of candy consisting of Atomic Fireballs and Gummi Bears Atomic Fireballs cost 425 per pound and Gummi Bears we class=
Juan visited a candy store and purchased 7 pounds of candy consisting of Atomic Fireballs and Gummi Bears Atomic Fireballs cost 425 per pound and Gummi Bears we class=
Juan visited a candy store and purchased 7 pounds of candy consisting of Atomic Fireballs and Gummi Bears Atomic Fireballs cost 425 per pound and Gummi Bears we class=

Respuesta :

The answer is the graph on picture #2.

The Q says for fireballs to be x and gummy bears to be y. So they correspond to their axis. Knowing this you get rid of the last 2 graphs. When you plug in these vertexes into the equations, the only right answer is the graph in picture 2.

Answer:

The 2nd graph correctly represents the situation.

Step-by-step explanation:

Let the number of Atomic Fireballs= x and the number of Gummi bears= y.

Now, Juan purchased total 7 pounds of candies.

So, [tex]x+y=7[/tex]

Also, the cost of Atomic Fireballs and Gummi bears is $4.25 and $1.25 per pound respectively.

Since, Juan spent total $14.75 before taxes.

Then, [tex]4.25x+1.25y=14.75[/tex]

That is, the system of equations is given by,

[tex]x+y=7[/tex]

[tex]4.25x+1.25y=14.75[/tex]

Plotting the equations, we get that,

The 2nd graph shown below correctly represents the situation.

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