Which of the following lines are perpendicular to y =2 x +6

A: y = 2/5x - 8
B: y = -2/5x +7
C: y = 5/2x +3

p + q ≥ 9 and 4p + 6q ≤ 55

(10,1)

Step-by-step explanation:

Iced tea, x, costs $4 per gallon and lemonade, y, costs $6 per gallon.

Let us take p gallons of Iced tea and q gallons of lemonade.

Now, we need to purchase at least 9 gallons of drinks for a neighborhood picnic but have at most $55 to spend.

Therefore, the inequalities we can write from the above condition are

p + q ≥ 9 (1)

and 4p + 6q ≤ 55 (2)

Now both these two inequalities will be satisfied by the solution of (10,1) i.e. 10 gallons of iced tea and 1 gallon of lemonade. (Answer)