Solution:
Speed of Vehicle which travels at steady rate = 35 miles per hour
As we know , Distance = Speed × Time
For , Time = 1 Hours
Distance traveled = 35 miles per hour × 1 Hour = 35 miles
Time = 2 Hours
Distance traveled = 35 miles per hour × 2 Hour = 70 miles
Time = 3 Hours
Distance traveled = 35 miles per hour × 3 Hour = 105 miles
So points which are represented as ⇒ (Distance , Time) is (1,35),(2,70), (3,105).
We can find the equation of line using two point formula.
[tex]\frac{y-35}{x-1}=\frac{70-35}{2-1}\\\\y-35=35(x-1) \\\\y - 35 = 35 x -35 \\\\ y = 35 x[/tex]
For , T = 10's = [tex]\frac{10}{60} = \frac{1}{6}[/tex] Hour
y = 35 [tex]\times \frac{1}{6}[/tex]= 6 miles (approximately)
1 unit = 6 miles (on D axis, i.e Y axis.)
To locate 105 on D axis , Largest value on D axis= [tex]\frac{105}{6}=17.5 Units[/tex]
The largest value on the D-axis of his or her graph so that the scale is the most appropriate for the given information is 17.5 i.e Y axis.
