Question

You attend a baseball game with friends and visit the snack stand between innings. Sosa costs $2 a can, and a box of popcorn costs $1.50. You have $15 with you, and you wish to buy more cans of sofa than boxes of popcorn. If x represents the number of cans of sofa and y the number of boxes of popcorn, which graph represents the inequalities in this scenario?

Answer 1

The answer is D, becuase he doesn't do less than 90 and no more than 100 minutes.

Answer 2

Answer:

Here, x represents the number of cans of sofa and y the number of boxes of popcorn,

Since, the cost of one can is $ 2,

⇒ The cost of x cans = 2x,

While, the cost of 1 box of popcorn is $ 1.5,

⇒ The cost of y boxes of popcorn = 1.5y,

Hence, the total spending = 2x + 1.5y,

Now, total spending can not exceed to $ 15

⇒ 2x + 1.5y ≤ 15 -----(1)

Which is the required inequality that shows the given situation,

Now, the related of this inequality is,

2x + 1.5y = 15,

That having x-intercept (7.5,0) and y-intercept (0,10),

Also, 0 + 0 ≤ 15 ⇒ 0 ≤ 15 ( true ),

The feasible region of inequality (1) will contain the origin,

And, ≤ sign represents the solid line.

Thus, by the above explanation, we can plot the graph of the given situation. ( shown below )