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The graph represents the last 5 years of computer hard-drive production by peach tree computing

Part A:The variable t represents the time (in years).List the ordered pairs for t=1 and t=2.

Part B:Write an equation to represent the relationship between the time,t, and the number of hard drives produced,p.

The graph represents the last 5 years of computer hard-drive production by peach tree-example-1

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PART A)

In this problem, we have a graph that represents the last 5 years of computer hard-drive production by Peach Tree Computing. The variable
t represents the time (in years), so we need to list the ordered pairs for
t=1 \ to \ t=2. An ordered pair are two numbers written in a certain order usually in parentheses like
(a,b). Here in this problem
a will represent the time
t while
b will represent the Number of Computer Hard Drive Produced
p, thus:

Answer:


ORDERED \ PAIRS: \\ \\ (1,1200) \\ (2,2400) \\ (3,3600) \\ (4,4800) \\ (5,6000)

PART B)

Here we need to write an equation to represent the relationship between the time
t and the number of hard drive produced
p. The points construct a linear equation, so:


The \ equation \ of \ the \ line \ with \ slope \ m \\ passing \ through \ the \ point \ (x_(1),y_(1)) \ is:\\ \\ y-y_(1)=m(x-x_(1))


(x_(1), y_(1))=(0,0)

Then:


y-0=m(x-0) \\ \\ and \ m=(1200-0)/(1-0)=1200 \\ \\ so: \\ \\ y=1200x

Answer:


\boxed{y=1200x}

User Valentin Shergin
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