Answer:
[tex]d=24h[/tex]
Step-by-step explanation:
The table is
h d
1 24
2 48
3 72
4 96
This relation can be presented as the following linear equation
[tex]d=24h[/tex]
Because, the distance is defined as the product between the speed and the time. Also, we obtain this relation, by finding the slope of the given vales
[tex]m=\frac{96-24}{4-1}=\frac{72}{3}=24[/tex]
Then, using one point, the slope and the point-slope formula, we have
[tex]y-y_{1}=m(x-x_{1})\\y-24=24(x-1)\\y=24x-24+24\\y=24x[/tex]
Where [tex]y=d[/tex] and [tex]x=h[/tex].
Therefore, the expression that models this situation is
[tex]d=24h[/tex]
