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:

$y-0=m(x-0) \\ \\ and \ m=\frac{1200-0}{1-0}=1200 \\ \\ so: \\ \\ y=1200x$

Answer:

$\boxed{y=1200x}$