Creating a Cost Function You buy a printer for $80 and then pay $15 for each ink cartridge that you use. A function relating the cost, C (in dollars), of operating the printer to the number of cartridges used, n, is C(n) = 15 + 80. %3D B. Graph the function from Part A. A. Complete the table to represent the total cost for 0 to 4 cartridges. 160 Number of Cost, C cartridges, n (dollars) 140 80 120 100 80 3 60 4 40 Domain: (0, 1, 2,3, 4} 20 Range: 1 3. 4 Number of Cartridges C. Using the table, check that x has a constant change between consecutive terms. The first one is done for you. D. Now check that y has a constant change between consecutive terms. The first one is done for you. 1-0= 1 95 80 = 15 2-1= 3-2 = 4 - 3 = E. A change in x of corresponds to a change in y of. This function is a linear function. Cost, C (dollars)
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
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Slandards Act. CDE Caifomia Department of Education, En
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General Summary of Minors' Work Regulatione
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Linear Functions in the Real World
EXPLORE 2
O Read the section below and complete the following activity (adapted from Lesson 5.1).
Creating a Cost Function
You buy a printer for $80 and then pay $15 for each ink cartridge that you use. A function
relating the cost, C (in dollars), of operating the printer to the number of cartridges used, n,
is C(n)
600
= 15n + 80.
B. Graph the function from Part A.
A. Complete the table to represent the
total cost for 0 to 4 cartridges.
160
Cost, C
(dollars)
4 h.
491
Number of
140
8 hoi
cartridges, n
prece
1391)
48 hou
VEE st
ore the
pre tha
80
120
0.
1.
100
2
80
purs pi
purs p
3.
60
- 10
ening
40
dent:
av (L
20
Domain: {0, 1,2,3,4}
3.
4.
1
Number of Cartridges
Range:
D. Now check that y has a constant change between
consecutive terms. The first one is done for you.
s t
C. Using the table, check that x has a
constant change between consecutive
terms. The first one is done for you.
1-0 = 1
95
80
= 15
2-1 =
3-2%D
4 - 3 =
E. A change in x of
_corresponds to a change in y of . This function is a linear function.
For all linear functions, a constant change in x
will correspond to a constant change in y.
Page 5
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Cost, C (dollars)"
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