Question

Maria is running a 20-kg race.the graph at the right shows her distance remaining in the race in kilograms overtime in hours

Answer 1

the slope of the line is,

$m=\frac{\text{rise}}{\text{run}}$$m=\frac{20-0}{0-8}$$\begin{gathered} m=-\frac{20}{8} \\ m=-\frac{5}{2} \end{gathered}$

it is also passing through (8,0)

so the linear function is, y = mx + c

y - 0 = -5/2(x-8)

y = -5/2x +20

thus, the linear function is y = -5/2x + 20

$y=\frac{-5}{2}x+20$