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=(20-0)/(0-8)`
`\begin{gathered} m=-(20)/(8) \\ m=-(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=(-5)/(2)x+20`