Amanufacturing 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 this scenario?

The graph in the attached figure

Step-by-step 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

The inequality represents the situation is:

And the graph is attached in the solution.

Step-by-step explanation:

Given information:

Time of first process in minutes

Time of second process in minutes

As we know that ,

according to the given information in the question we can write:

the inequality represents the situation is:

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

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

And the slope is negative

Now the graph of the above inequality can be formed as attached in the solution:

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c. (3,2,6) is the answer.

answer 1 : option "c"

answer 2 : option "d"

answer 3 : option "b"

answer 4 : option "d"

answer 5 : option "b"

answer 6 : option "a"

answer 7 : option "c"

answer 8 : option "d"

answer 9 : option "c"

answer 10 : option "d"

answer 11 : option "c"

answer 12 option "b"

answer 13 option "c"

answer 14 option "c"

answer 15 option "d"

answer 16 option "a"

answer 17 option "b"

answer 18 option "c"

answer 19 option "a"

answer 20 option "a"

answer 21 option "c"

d