Question 161558
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.