Avehicle travels at a steady rate of 35 miles per hour. a student will graph the total distance, d, as a function of the time in hours, h, showing the distance for 1 to 3 hours. if the student counts by 10's, what should be the largest value on the d-axis of his or her graph so that the scale is the most appropriate for the given information?

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.

For , T = 10's = Hour

y = 35 = 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=

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.

let y equal to

the total fare and x is the mile of taxi ride. so the equation is

y = 0.55x + 1.75

since susie has

$10 to spend for a taxi cab, so he can have

10 = 0.55x +

1.75

x = 15 miles of

taxi ride

so the system of

inequality is

10 < 0.55x +

1.75

x > 2