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21) For each of the following, set up a Rate/Time/Distance table (see
the following problems and solve them.
a) On a sales trip, Irwin drove 330 miles averaging a certain speed. The return trip was at an
average speed that is 11mph faster. Total time for the round trip was 11 hours. Find Irwin’s average
speed on each part of the trip.
b) Chuck and Dana agree to meet in Chicago for the weekend. Chuck travels 245 miles in
the same time that Dana travels 225 miles. If Chuck’s rate of travel is 4 mph more than Dana’s,
at what speed does Chuck travel?
c) The speed of a current is 4mph. If a boat travels 74 miles downstream in the same time
that it takes to travel 37 miles upstream, what is the speed of the boat in still water?
Distance
Time
Rate
Description
1
+
X

-122*
X
V
X
Solve.
c) logs (7 — 2X)= 3
d) In (4x — 2) = 3
28) Use A = P(1 + r) to find the interest rate. Express the interest rate as a per cent rounded to the
nearest tenth.
a) $2000 grows to $2420 in 2 years. b) $6000 grows to $6760 in 2 years.
30) A catapult is designed to launch circus performers from a raised platform. After launch, the
height of the performer in feet is given by
h(t) = -16t2 + 80t +32
where t is seconds after launch. After how many seconds is the performer at ground level?
Round to the nearest tenth of a second.
31) You will need to use the formula: h(t)=-16ť? + Vot+ho, where h (t) is the height of the
object in feet after t seconds, Vo is the initial speed (velocity), and he was the initial height.
A ball is thrown up in the air from a cliff that is 45 feet high. The initial velocity is 60
feet/second. Find the time at which the height of the object is 80 feet. Round to the nearest tenth
of a second
y
32) Complete the square to write the function in the form f(x) = a(@– h)? + k.
f(3) = 2×2 – 24x + 77
ax²+bx+c
2(x-2) = 77
33) Review your class notes, worksheets and monthly exams.
d) x-2 – 2x -7 -15 = 0
2
1
f) 2×3 – 5×3 – 3 = 0
Distance table (see below)
eraging a certain speed. Th
ne round trip was 11 hours

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