Iced tea, x, costs $4 per gallon and lemonade, y, costs $6 per gallon. you need to purchase at least 9 gallons of drinks for a neighborhood picnic, but have at most $55 to spend. model the scenario with a system of inequalities. which of the following options represents a possible solution to the system of inequalities?
(10,10)
(10, -5)
(2,10)
(10,1)

(10,1)

Step-by-step explanation:

Let No. of iced tea be x

Let no. of lemonades be y

We are given that You need to purchase at least 9 gallons of drinks

So, equation becomes:  --1

Cost of 1 gallon of ice tea = $4

Cost of x gallons of  ice tea = $4x

Cost of 1 gallon of lemonade = $6

Cost of y gallons of  lemonade = $6y

We are also given that you have at most $55 to spend.

So, equation becomes:  ---2

Now Check the given points which satisfies the inequalities

     and      

At (10,10)

 and            

       and            

(10,10) is not satisfying the both equations

At (10,-5)

 and            

       and            

(10,-5) is not satisfying the both equations

At (2,10)

 and            

       and            

(2,10) is  not satisfying the both equations.

At (10,1)

 and            

       and            

(10,1) is  satisfying the both equations.

Thus (10,1) is a possible solution to the system of inequalities

y = 5x + 17

step-by-step explanation:

a perpendicular line will be the opposite reciprocal slope of the given equation.   the slope given is -1/5 so the opposite reciprocal is 5

find b:

7 = 5 (-2) + b

7 = -10 + b

17 = b

write equation

y = 5x + 17