The soccer team is selling bags of popcorn for $3 each and cups of lemonade for $2 each. To make a profit they must collect a total of more than $120. Write an inequality to represent the number of bags of popcorn sold, p, and the number of cups of lemonade sold, c, in order to make a profit.

Given :

The soccer team is selling bags of popcorn for $3 each and cups of lemonade for $2 each.

To make a profit they must collect a total of more than $120.

To Find :

Write an inequality to represent the number of bags of popcorn sold, p, and the number of cups of lemonade sold, c, in order to make a profit.

Solution :

Let, number of popcorn sold is p and number of cups of lemonade sold is c.

So, total money earned is :

T = 3p + 2c

Now, it is given that to make a profit they must collect a total of more than $120 i.e total revenue should be greater than $120.

So,

T ≥ $120

3p + 2c ≥ 120

Hence, this is the required solution.

in mathematics, a function is a relationship between two variables such that the value of one of the variables, called the dependent variable, is determined by the value of the other variable, called the independent variable. there is a specific term we use to describe the set of independent variables of a function.

let y equal to

the total fare and x is the mile of taxi ride. so the equation is

y = 0.55x + 1.75

since susie has

$10 to spend for a taxi cab, so he can have

10 = 0.55x +

1.75

x = 15 miles of

taxi ride

so the system of

inequality is

10 < 0.55x +

1.75

x > 2