Equation Worksheet With Answer - Test 2 Mat 1101 - 2010 Page 2
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214. The General Education department is ordering custom-made t-shirts for Field Day. The one-time set up fee
for the design is $10 and each t-shirt that is purchased costs $15. Let “y” be the cost of “x” purchased t-shirts.
a) What is the rate of change
b) How much is the flat fee
c) Find the equation of the line y.
of cost per t-shirt?
for ordering the t-shirts?
$15 per t-shirt
$10
y = 15x + 10
d) How much would it cost the department to
e) Abby is collecting the money to place the order with
order a t-shirt for all of its 15 employees?
the t-shirt company. If she has collected $115, how many
people in the department have ordered t-shirts?
$235
7 people
15. Janet notices she paid $485 when she took 10 credit hours at her college Winter 2010 and $365 when she
took 7 credit hours Spring 2010. Let the relationship between the cost and credit hours is linear where “y”
represents the cost of taking “x” credit hours worth of classes during a given quarter.
a) How much is the cost per credit hour?
b) Find the equation of the line y.
$40 per credit hour
y = 40x + 85
or
40x – y = –85
c) What is the cost of the flat fees associated
d) For Summer 2010, Janet is planning on taking 14 credit
with taking classes at Janet’s college?
hours. What will her total cost be for that class load?
$85
$645
16. The number of people P(x) in Monroe County from 1960 to 2010 can be approximated by the equation
P(x) = 569.4(x – 1960) + 32,962.
a) What is the average rate of change of
b) What was the population of Monroe County in 1960?
the population of the county per year?
569.4 people per year
32,962 people
c) During what year was the population
d) If the trend continues, what would be expected
of the county 50,000 people?
population of the county in the year 2050?
in 1989
84,208 people
17. Perry, a Bear Scout Guide, is taking his scouts on a camping trip. He buys eight blankets and five lanterns
for $105. A fellow scout guide buys six blankets and four lanterns for $81 from the same store. How much
money is a single blanket?
A single blanket is $7.50.
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