Question

The scatterplot shows the data of Area of Pacific ice between $2000$ and $2012$. The line of best fit line has been drawn and its equation of the line is $A\left(t\right)=-0.187t+380.5,$ where $A\left(t\right)$ represents the area of measurable sea ice in the Arctic Ocean in the year $t$. Which year sea ice in pacific ocean stop to exist?

• A. $2026$
• B. $2034$
• C. $2066$
• D. $2380$

Answer 1

The correct option is B $2034$

$A\left(t\right)=-0.187t+380.5$
Substitute the value of $t=2026,2034,2066,2380$ to check the $A\left(t\right)$ is closely equal to zero.
$A\left(2026\right)=-0.187\left(2026\right)+380.5=1.63$
$A\left(2034\right)=-0.187\left(2034\right)+380.5=0.142$
$A\left(2066\right)=-0.187\left(2066\right)+380.5=-5.8$
$A\left(2380\right)=-0.187\left(2380\right)+380.5=64.56$
So, in the year $2034$ sea ice in Pacific ocean stop to exist.