The statements that are true about the graph of this inequality is Option (A) The boundary line is solid, Option (B) The boundary line has a negative slope and Option (D) The point (0, 5) is a solution.
How to solve the given inequality problem and frame the graph of it ?
The statement of the problem is that Mika wants to buy two types of cookies, the vanilla cookies cost $4 per box and the peanut butter cookies cost $6 per box. She wants to spend no more than $30.
It is also given that x represents the boxes of vanilla cookies.
Let y represents the boxes of peanut butter cookies.
As vanilla cookies cost $4 per box, the total cost of Vanilla cookies is $4x.
And peanut butter cookies cost $6 per box, the total cost of peanut butter cookies is $6y.
This total cost of these cookies is less than $30.
Therefore we frame the inequality equation as -
= 4x + 6y ≤ 30
= 6y ≤ -4x + 30
= 3y ≤ -2x + 15 is the required inequality.
The graph of the inequality can be represented with the straight line 3y = -2x + 15.
Therefore we see that the boundary line is solid for the equation .
Also, the boundary line has a negative slope.
Moreover we see that point (0,5) satisfy the equation, therefore point (0,5) is a solution of it.
Thus we have the correct answer as Options (A), (B) and (D).
To learn more about inequality equations, refer -
brainly.com/question/18506618
#SPJ2
