Sam created an inequality to show the ways he could spend his money on start-up costs for a concession stand. He plans to sell shaved ice cones, x, and cinnamon rolls, y. Sam has $24 to use in purchasing supplies to make the two items. Supplies to make each shaved ice cone will cost $0.20, while supplies for each cinnamon roll will cost $0.30. This is the inequality Sam created. 0.2x + 0.3y ≤ 24. Identify the x-intercept for the boundary line of the inequality and explain what it means in terms of the situation.

Respuesta :

The inequality is 0.2x + 0.3y ≤ 24 and the x intercept is 120 cinnamon rolls.

Inequality

Inequality is an expression that is used to show the non equal comparison of numbers and variables.

Let x represent the ice cones and y represent the cinnamon rolls.

Given that Sam has $24 to use in purchasing supplies, hence:

  • 0.2x + 0.3y ≤ 24

The x intercept is at y = 0, hence:

0.2x + 0.3(0) ≤ 24

x ≤ 120

The inequality is 0.2x + 0.3y ≤ 24 and the x intercept is 120 cinnamon rolls.

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