Download Review Exercises

16
CHAPTER 1 Functions and Linear Models
Section 1.3
21. a. Let x be the number of large
orders of french fries consumed.
The amount of fat consumed is
given by F  x   29 x grams.
b. Let y be the number of Big N’
TastyTM sandwiches consumed.
The amount of fat consumed is
given by G  y   32 y grams.
c. The total amount of fat consumed
by eating z combination meals is
H  z    32  29 z .
b. We have
v t   7312.5t  14,558,975 .
v 1999   7312.5 1999   14,558,975
 $58,712.50
c. The linear model was extremely
effective at accurately predicting
the value of the 1999 MercedesBenz Roadster 2-door SL500.
The $212.50 difference between
the predicted value of the model
and the NADA guide average
value was negligible.
H 1   32  29 1
 61
Only one combination meal may
be eaten. Eating more than one
will exceed the RDA for fat (at
most 65 grams).
23. a. Let t be the production year of the
Mercedes-Benz Roadster 2-door
SL500TM and let v  t  be the value
of the car in 2001. We have
v t 
t
1998 $51,400
2000 $66,025
The slope of the car value
function is
66025  51400
m
2000  1998
 $7312.5 per year
We have
v  t   7312.5t  b
51400  7312.5 1998   b
b  14,558,975
So v  t   7312.5t  14,558,975
is the linear model for the data.
Copyright © Houghton Mifflin Company. All rights reserved.