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Agata [3.3K]
1 year ago
8

When the x-value is 100, what is the corresponding y-value? How do you know?

Mathematics
1 answer:
Marina86 [1]1 year ago
4 0

Answer: -6

Step-by-step explanation:

Given: y = 100 - 2x

New: y = 100 - 2(x + 3)

          = 100 - 2x - 6

          = 94 - 2x

The original equation had a y-intercept of 100.  The new equation has a y-intercept of 94.  The y-value changes by -6 units.

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Adult and student tickets were sold for a school concert. The adult tickets cost $12 each, and the student tickets cost $8 each.
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Answer: the number of adult tickets sold is 150

the number of student tickets sold is 210

Step-by-step explanation:

Let x represent the number of adult tickets sold.

Let y represent the number of student tickets sold.

The adult tickets cost $12 each, and the student tickets cost $8 each. The total cost of tickets sold $3,480. This means that

12x + 8y = 3480 - - - - - - - - - -1

The total number of tickets sold is 360. This means that

x + y = 360 - - - - - - - - - -2

Multiplying equation 1 by 1 and equation 2 by 12, it becomes

12x + 8y = 3480

12x + 12y = 4320

Subtracting

-4y = -840

y = -840/-4 = 210

Substituting y = 210 into equation 2, it becomes

x = 360 - y = 360 - 210

x = 150

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Professor Smith has a total of 250 students,
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