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Unformatted text preview: 1.10 Modeling with Functions 1. Construct functions from verbal descriptions.
2. Construct functions from formulas. Express the area of the fenced in area as a function of one of its
A (X ): trio PX ) X An open box is made from a square piece of cardboard 8 inches on
a side by cutting identical squares from the corners and turning up
the sides. Express the volume of the box, V, as a function of the length of the side of the square cut from each corner, x. A coupon book for a bridge costs $24 per month. The toll for the
bridge is normally $3.00, but it is reduced to $1.50 for people who
have purchased the coupon book. Express the total monthly cost to
use the bridge without a coupon book, ﬂ as a function of the
number of times in a month the bridge is crossed, x. Express-Ether
monthly costto use With-a coupon mickey" , as a function
of the number of times in a month the bridge is crossed, x.
Determine the number of times in a month the bridge must be
crossed so thatthe costwithout the coupon book is
the sameas the total monthly cost with the coupon book $00: ‘F’vx On a certain route. an airline carries 5000 passengers per month,
each paying $80.A market survey indicates that for each $1
decrease in the ticket price, the airline will gain 50 passengers.
Express the number of passengers per month, N, as a function of}?
the ticket price, 3:. Express the monthly revenue for the route, R, as a function of the ticket price, x. WU): Goon-e L30 (sch-X ) R :7 60170 4 0000 w 1'50 X UH: F00 #5101) X A new running track is to be constructed in the shape of a rectangle
with semicircles at each end. The track is to be 880 yards long.
Express the area of the region enclosed by the track, A, as a
function of its radius, r. (For a picture, look at Exercise 27 in the Practice and Application Exercises.) ...
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- Fall '11