Equation Worksheet With Answers - Mat 1101 - 2011 Page 2
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212. Under Elisabeth’s health care plan, she pays $150 of an emergency room (ER) visit and 10% of any charges
above the $150. Let A(x) represent the amount of money Elisabeth must pay to an ER whose total bill is “x”
dollars.
a) What is the rate of change of the
b) What is the flat fee she has to
c) Find the equation A(x).
amount she pays to the total bill?
pay regardless of the total bill?
0.1
$150
A(x) = 0.1x + 135
d) If the total bill from an ER visit is $1200,
e) Elisabeth notices that she has paid a total of
how much will Elisabeth pay for the visit?
$247.20 for an ER visit. What was her total bill?
$255
$1122
13. Sarah Jane is on a business trip across England. She first drives from her house to the nearest motorway and
then continues on the motorway until she reaches her destination. She noticed that two hours after she got onto
the motorway, she had driven 140 miles; and after 5 hours on the motorway, she had driven 332 miles. Let d(x)
represent the distance Sarah Jane has traveled so far after x hours on the motorway.
a) What is her average speed
b) How many miles had she already traveled when she got onto the
on the motorway?
motorway? (ie., from her house to the motorway.)
64 mph
12 miles
c) Find the equation d(x).
d) How far on the motorway will she have gone after 3.5 hours?
d(x) = 64x
224 miles on the motorway.
e) If her destination is 426 miles from home, for how many hours will she be driving on the motorway?
≈ 6.47 hours
14. The function given by c(x) = 849x + 5960 can be used to estimate the number of U.S. acres planted with
organic cotton, where x represents the number of years after 2006.
a) How many more acres are planted
b) How many acres were planted
with organic cotton per year?
with organic cotton in 2006?
849 acres per year
5960 acres
c) About how many acres in the U.S. were
d) During what year is it expected that 17,846
planted with organic cotton in 2010?
acres will be planted with organic cotton?
9356 acres
2020
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