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Question 161558This question is from textbook ELEMENTARY AND INTERMEDIATE ALGEBRA
: The demand for tickets to a play can be modeled by the
equation d = 1000-20p, where d is the number of tickets
sold and p is the price per ticket in dollars.
a) How many tickets will be sold at $10 per ticket?
b) Find the intercepts and interpret them.
c) Find and interpret the slope, including units.
This question is from textbook ELEMENTARY AND INTERMEDIATE ALGEBRA
Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website! The demand for tickets to a play can be modeled by the
equation d = 1000-20p, where d is the number of tickets
sold and p is the price per ticket in dollars.
a) How many tickets will be sold at $10 per ticket?
b) Find the intercepts and interpret them.
c) Find and interpret the slope, including units.
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a) d = 1000-20p
d = 1000 - 20*10
d = 800 tickets
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b) To find the intercepts, set one variable to zero and solve for the other.
Let d = the vertical axis and price the horizontal, tho this is arbitrary.
d = 1000-20p
At p = 0, d = 1000
The d-intercept is (0,1000) (p,d) is the order
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d = 1000-20p
at d = 0, p = 50
The p-intercept is (50,0)
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c) The slope is -20 tickets sold per dollar price. That is, raising the price $1 causes 20 fewer tickets to be sold.
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