Question

A train travels at a constant speed of 24

24
miles per hour. Which equation and table show the correct relationship between ℎ
h
, the number of hours, and
d
, the distance traveled?

Answer 1

`d=24h`

Explanation:

The table is

h d

1 24

2 48

3 72

4 96

This relation can be presented as the following linear equation

`d=24h`

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

`m=(96-24)/(4-1)=(72)/(3)=24`

Then, using one point, the slope and the point-slope formula, we have

`y-y_(1)=m(x-x_(1))\\y-24=24(x-1)\\y=24x-24+24\\y=24x`

Where
`y=d` and
`x=h`.

Therefore, the expression that models this situation is

`d=24h`

Answer 2

Explanation:

d = 24 x h

since d is the distance in order to get that we need to multiply the speed times time and get the answer