The community center has $100 to purchase new basketballs that cost $16.55 each and soccer balls that cost $14.75 each, where x is the number of purchased basketballs and y is the number of purchased soccer balls. which inequality represents this situation? enter your answer, in standard form, in the box.

16.55x +14.75y ≤ 100

Step-by-step explanation:

The sum of costs must not exceed the budget amount. The sum of costs is the sum of products of cost and quantity.

The problem statement tells us x is the number of basketballs and $16.55 is their price. This means 16.55x will be the total price of purchased basketballs.

Likewise, y is the number of soccer balls, and $14.75 is their price. 14.75y will be the total price of the purchased soccer balls.

The total of both purchases is then ...

... 16.55x + 14.75y

and this value must be less than or equal to $100. The inequality is written ...

... 16.55x +14.75y ≤ 100

in geometry, parallel lines are lines in a plane which do not meet; that is, two lines in a plane that do not intersect or touch each other at any point are said to be parallel. by extension, a line and a plane, or two planes, in three-dimensional euclidean space that do not share a point are said to be parallel.