Question

Seth is driving to a friends house that is y miles away .After driving x miles in 4 hours, he still has 612 miles to go. The equation that relates y and x is . If he is driving at a speed of d miles per hour, the equation that relates x and d is

Answer 1

Explanation:

speed x time = distance

s (1.5) = 105

1.5s=105

s = 70mph

d(t) = 70t

Answer 2

The equation that relates y and x is
`y=x+612 mi`, and the equation that relates x and d is
`4d=x`.

Explanation:

Step 1: First we know that the total distance is equal to y. The distance traveled in 4 hours equals x, and the distance from point x to y equals 612 miles. Adding x to the remaining 612 miles gives the total distance y.

`y=x+612 mi`

Step 2: To know the relationship between x and d, we must first raise the speed during the journey to x.

`v=(x)/(4h)`

Then, we set the speed d e equal v:

`v=(d)/(h)`

`(x)/(4h) = (d)/(h)`

Clearing x we get:

`x=4h * (d)/(h)`

`x=4d`

Have a nice day!