Question

the table below shows data on the number of kilograms of litter collected each week in a national park x weeks after the park managers started an anti - littering campaign.
weeks (x): 1 2 3 4 5 6 7
kilograms of litter collected (y): 2.7 2.7 2.3 2.3 2.1 1.7 1.7
the equation of the line of best fit is given by: y = - 0.2x + 3
using the model, estimate the number of kilograms of litter collected 8 weeks after the start of the anti - littering campaign.

Explanation:

Step1: Identify the variable value

We are given $x = 8$ (8 weeks after the start).

Step2: Substitute into the equation

Substitute $x = 8$ into $y=-0.2x + 3$. So $y=-0.2\times8 + 3$.

Step3: Calculate the result

First, calculate $-0.2\times8=-1.6$. Then $y=-1.6 + 3=1.4$.

Answer:

$1.4$