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A movie theater makes a profit of $10 on adult tickets and $5
for children's tickets. Write an inequality in slope intercept form
that expresses when the profit is less than $5,000. Use y for
the number of children's tickets sold and x for the number of
adult tickets sold.

Respuesta :

CintiaSalazar

Considering the definition of an inequality, the inequality in slope intercept form is y < 1,000- 2x.

Definition of inequality

An inequality is the existing inequality between two algebraic expressions, connected through the signs:

  • greater than >.
  • less than <.
  • less than or equal to ≤.
  • greater than or equal to ≥.

An inequality contains one or more unknown values ​​called unknowns, in addition to certain known data.

Solving an inequality consists of finding all the values ​​of the unknown for which the inequality relation holds.

Slope intercept form

A linear equation o line can be expressed in the slope intercept form y=mx + b.

where

  • x and y are coordinates of a point.
  • m is the slope.
  • b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.

Inequality in this case

In this case, you know that a movie theater makes a profit of:

  • $10 on adult tickets.
  • $5 for children's tickets.
  • the profit is less than $5,000.

Considering that:

  • x is the number of adult ticket sold.
  • y is the number of children ticket sold.
  • P is the amount of profit made by selling "x" adult tickets and "y" children tickets.

you have that the inequality that expresses the profit is

10x + 5y < 5,000

The inequality in slope intercept form is expressed as:

5y < 5,000 - 10x

y < (5,000 - 10x)÷ 5

y < 5,000÷ 5 - 10÷ 5x

y < 1,000- 2x

Finally, the inequality in slope intercept form is y < 1,000- 2x.

Learn more about inequality:

brainly.com/question/17578702

brainly.com/question/25275758

brainly.com/question/14361489

brainly.com/question/1462764

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