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MAT 150 – Mathematics for Business

TAP #2

Due date:

Name:	Date:
ID:	Section: U1

Note: For all the questions, provide detailed solution steps.

Exercise 1. (30 points, 15 each)

a) Check if the given pair of lines are parallel, perpendicular or neither.

4y – 12x = 20

15y + 3x = 10

b) Check if the given pair of lines are parallel, perpendicular or neither.

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Exercise 2. (30 points, 10 each)

The demand per week for a book is 120 copies when the price is $8 each and 80 copies when the price is $10 each.

a) Find the demand equation for the book, assuming that it is linear.

b) Find the quantity demanded when the price is $13 each.

c) Find the price if the quantity demanded id 2 books.

Exercise 3. (40 points)

A manufacturer will produce 1100 units of a product when the price is 100 $ each and 1400 units when the price is 130 $ each.

Find the equation of Supply assuming it is linear.

Exercise 4(Bonus). (10 points)

Find the equation of a line passing through the point (–6, 5) parallel to the line

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