Question

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.

Answer 1

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}`