Question

A vehicle 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?

Answer 1

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.

$\frac{y-35}{x-1}=\frac{70-35}{2-1}\\\\y-35=35(x-1) \\\\y - 35 = 35 x -35 \\\\ y = 35 x$

For , T = 10's = $\frac{10}{60} = \frac{1}{6}$ Hour

y = 35 $\times \frac{1}{6}$= 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= $\frac{105}{6}=17.5 Units$

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.

Answer 2

110 is the answer i got it wrong on my test and that was it.