Worksheet 2.5 - Rates Of Change And Particle Motion I Worksheet

ADVERTISEMENT

Calculus Maximus
WS 2.5: Rates of Change & Part Mot I
Name_________________________________________ Date________________________ Period______
Worksheet 2.5—Rates of Change and Particle Motion I
Show all work. No calculator unless otherwise stated.
Short Answer
( )
1. Let
E x be the elevation, in feet, of the Mississippi River x miles from its headwaters at Lake Itasca
≤ ≤
in Park Rapids, Minnesota, for 0
x
2320
.
( )
(a) What are the units of
E x
?
( )
(b) What is the sign (positive or negative) of
E x
? Why?
( )
(
)
=
= , to 3-decimals, find the average change in
(c) (Calculator Permitted) If
E
0
1475
E
2320
0
≤ ≤
elevation, in feet per mile, of the Mississippi River for 0
. Show the work that leads to
x
2320
your answer. Using correct units, explain the meaning of your answer.
2. An economist is interested in how the price of a graphing calculator affects its sales. Suppose that at a
price of p dollars, a quantity, q, calculators are sold, then the quantity of calculators sold is a function of
q =
the calculator’s price, that is, if
f
( p
)
.
=
(a) In a complete sentence using correct units, explain the meaning of
f
(150) 20,000
.
f ′
= −
(b) In a complete sentence using correct units, explain the meaning of
(150)
50
(c) Assuming the rate from part (b) holds for 150
p
170
, how many calculators are predicted to sell
when the price of a calculator is $160? Show the work that leads to your answer.
Page 1 of 8

ADVERTISEMENT

00 votes

Related Articles

Related forms

Related Categories

Parent category: Education
Go
Page of 8