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1. @@® points) The following graph shows the total distance, D(i), traveled by a moving object after
t minutes. ( a)
(b)
distance (in miles)
Q 2 6 a 10 12 14 16 6 20 22 24
time (in minutes)
2
(a) (@ pts) Compute the average speed during the 3-minute interval staring at t = 2 minutes?
AS=SLOPE OF SECAdT etme Feom 2 ty S F zoo- Ns. © \.Sur¢
POINTS: (O15) (14,200) ib - oO
! ———
H ANSWER: ih@ miles per minute
3
(b) (& pts) What is the smallest value of average trip speed?
E RTS = SLOPE OF DiAgowAL LEHE He-8 2. eo 3I404
Roe
octues AT 9% 18S
Pots + lo,4) (7,42) ANSWER: ee miles per minute
: 2
(c) (# pts) Find a 4-minute interval over which the average speed is the same as the average
H speed from ¢ = 6 tot = 10.
WANT G-mmN, Ta TeewAL DHEY <Clope ce THE SECANT
[
cS THE SAME *5 THE SLOPE From ote le
ANSWER: From ¢ = | | +t to t= 18 \ minutes
Cc
(d) (4 pts) Translate the following into English and find the answer(s):
“Pind all values of ¢ such that 28 see"
TRANSLATION] Fiag acc qrmes WHEN ars 1S
G.S mes pee minuTe.”
REFeceste Lone Win Slope = 6.5
(0,0) (as) (20130) answan: += [1.2 522.2.
2. (13 points) You sell Fronzies. The following chart gives the values of marginal revenue and marginal
cost at different quantities.
q (in Fronzies) | 0 | 1| 2| 3] 4 |5|6|7| 8 |9
MR (in dollars) [22] 19 | 16]13]10]7]4]1]2]-5
MC (in dollars) | 8] 7|6/5/[5]5/5/5/5]5
(a) (3 pts) What is your total revenue if you sell 3 Fronzies?
Te (D=22+10+10= SF]
ANSWER: t= —_|>"# dollars
(b) (3 pts) Which quantity will maximize profit’?
PRaFIT, ANCREASEsS WHEN maome (gee To qe)
oven NexT =Ter)
PRerrT DECREMES CHEN myn ene (q=@ Te gis)
maxtnum occues AT 4-6
ANSWER: q= & Fronzies
(c) (3 pts) Recall that AVC'(g) = ae What is average variable cost at ¢ = 2 Fronzies?
VC(D=BtEHNS
AVe(2) = 1 Shes
j
so
ANSWER; AVC(2) = _ dollars per Fronzy
(d) (4 pts) Translate the following into functional notation and determine if it is true or false:
“The change in total cost from ¢ = 3 to q = 6 is greater than 18.”
TRANSLATION:
| Te (\—TE(2) > 18 |
Tc te) =TCey = S+$*S2(8 Not mone THY |B
ANSWER: (circle one) TRUE
