Zeke and six of his friends are going to a baseball game. Their combined money totals $28.50. At the game hot dogs cost $1.25 each, hamburgers cost $2.50 each, soda cost $0.50 each. Each person buys one soda. Write an equation that can determine the number of hot dogs, x, and hamburgers, y, Zeke and his friends can buy.

 an equation that can determine the number of hot dogs, x, and hamburgers, y, Zeke and his friends can buy is    .

Step-by-step explanation:

Here we have , Zeke and six of his friends are going to a baseball game. Their combined money totals $28.50. At the game hot dogs cost $1.25 each, hamburgers cost $2.50 each, soda cost $0.50 each. Each person buys one soda. We need to  Write an equation that can determine the number of hot dogs, x, and hamburgers, y, Zeke and his friends can buy. Let's do this:

Given that  Each person buys one soda and soda cost $0.50 each , So for 7 persons soda cost :

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⇒

So , According to question given equation will be :

⇒ , where x & y is number of hot dogs & hamburgers!

⇒

So ,  an equation that can determine the number of hot dogs, x, and hamburgers, y, Zeke and his friends can buy is    .

it has to be a.

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.