Ethan has started a part-time business making and selling bird feeders. His supplies cost him $75. If he makes a profit of $6 on each bird feeder, how many must Ethan sell to make a total profit of more than $135? Write an inequality to model this situation and solve the inequality.

6y - 75 > 135

y > 35

Step-by-step explanation:

Given parameters:

     Cost price of supplies = $75

      Profit per bird feeder  = $6

    Expected profit > $135

Unknown:

An inequality that models the total number of feeders Ethan must sell to have the expected profit = ?

Solution:

  Let the number of feeders must sell  = y

Profit = Selling price - Cost price

    Selling price = profit per bird feeder x number of feeders  = 6y

Now;

      6y - 75 > 135  is the inequality

We must no solve this;

     6y - 75 > 135;

  adding 75 to both sides;

     6y - 75 + 75 > 135 + 75

        6y > 210

  Divide 6 into both sides;

         y > 35

So, Ethan must sell more than 35 feeds to make a profit of more than $135

y=mx+b

step-by-step explanation:

m slope

b y-intercept