Mat 1101 Test 2 Answers - 2009 Page 2
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214. A cablevision repairman charges a $50 flat fee for a visit and $35 per hour for any work that is done. Let y
represent the cost of the repairman’s visit after working for x hours at a job.
a) What is the rate of change
b) How much will a visit cost if
c) Find the equation of the line y.
of cost per hour?
the repairman doesn’t do any work?
$35 per year
$50
y = 35x + 50
d) How much will a visit cost if
e) How long did the repairman work if he
the repairman works for 3.5 hours?
made $78.75 on a job?
$172.50
about 0.82 hours or about 49 mins.
15. When the DVD player was introduced in 1997, it sold for $500. In 2002, a DVD player sold for $155. Let
C(x) represent the cost of a DVD player x years after 1997.
a) What is the rate of change of cost per year?
b) Find the equation of the line C(x).
–$69 per year
C(x) = –69x + 500
c) If the rate of change remains the same, what
d) Based in this information, do you
would be the cost of a DVD player in 2009?
believe this function still applies?
–$328
No. The cost would be negative!
16. The population of a city is represented by the equation P(x) = 508x + 6782, where x is the number of years
after 1970.
a) Is the population increasing or decreasing?
b) What is the average rate of change in the
population per year?
Increasing
+508 people per year
c) What would be population be in the year 2000?
d) During what year would we expect
the population to be 10,000?
22,022 people
1976
17. Andrew works at Wendy’s. In one hour he sold 15 single hamburgers and 10 double hamburgers totaling
$63.25. In another hour, he sold 30 singles and 5 doubles for a total of $78.65. How much does each type of
burger cost?
Double: $3.19
Single: $2.09
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