At the snack bar, hot dogs cost $4 each and bottled water costs $2 each. in the first business hour of the day, less than $12 worth of hot dogs and water were sold.

which are reasonable solutions for this situation if x represents the number of hot dogs sold and y represents the number of bottles of water sold? check all that apply.

(–1, 5)
(0, 6)
(2, 1)
(1, 1.5)
(1, 3)
(2, 2)

The possible solution are:

(2,1) and (1,3).

Step-by-step explanation:

Let x represents the number of hot dogs sold and y represents the number of bottles of water sold.

Now,

At the snack bar, hot dogs cost $4 each and bottled water costs $2 each. In the first business hour of the day, less than $12 worth of hot dogs and water were sold.

This means that the inequality that could be formed using the above information is:

                                 4x+2y<12.

Now, we will check which points could be a possible solution.

1)

(-1,5)

This can't be a solution since he will buy either no hot dogs or some.

The quantity can'be negative.

Hence, option 1 is false.

2)

(0,6)

This point does not satisfy the inequality.

since 2y=12 is not less than 12.

Hence, option 2 is false.

3)

(2,1)

This could be a possible solution as:

4×2+2×1=10<12

Hence, option 3 is true.

4)

(1,1.5)

Again this option is incorrect.

since, he won't buy bottle in fraction.

5)

(1,3)

Again this could be a possible solution.

Since,

4×1+2×3=10<12

Hence, option 5 is true.

6)

(2,2)

This could not be a solution.

since,

4×2+2×2=12 is not less than 12.

Hence, option 6 is false.

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