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A manufacturing machine has two processes. One of them is repeated 4 times and the second only once. The entire cycle can take no longer than 3 minutes. Which graph represents the overall equation represented by this scenario (all points may not apply to the scenario)? On a coordinate plane, a dashed straight line has a negative slope and goes through (0, 3) and (1, negative 1). Everything to the right of the line is shaded. On a coordinate plane, a dashed straight line has a negative slope and goes through (0, 3) and (1, negative 1). Everything to the left of the line is shaded. On a coordinate plane, a solid straight line has a negative slope and goes through (0, 3) and (1, negative 1). Everything to the right of the line is shaded. On a coordinate plane, a solid straight line has a negative slope and goes through (0, 3) and (1, negative 1). Everything to the left of the line is shaded.

User Timhaak
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2 Answers

1 vote

Answer: The answer is the last graph so D

Step-by-step explanation: Pogchamp

User LaserJesus
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8.7k points
4 votes

Answer:

The graph in the attached figure

Explanation:

Let

x -----> time of the first process in minutes

y -----> time of the second process in minutes

we know that

The time of the first process multiplied by 4 (because is repeated 4 times) plus the time of the second process multiplied by 1 (because is repeated only once) must be less than or equal to 3 minutes

so

The inequality that represent this situation is

The solution of the inequality is the shaded area below the solid line

The equation of the solid line is

The y-intercept of the solid line is the point (0,3)

The x-intercept of the solid line is the point (0.75,0)

The slope of the solid line is negative m=-4

using a graphing tool

The solution is the shaded area

The graph in the attached figure

Remember that the time cannot be a negative number

User Frouo
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8.5k points

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