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

Respuesta :

Answer:

Step-by-step explanation:

speed x time = distance

s (1.5) = 105

1.5s=105

s = 70mph

d(t) = 70t

Answer:

The equation that relates y and x is [tex]y=x+612 mi[/tex], and the equation that relates x and d is [tex]4d=x[/tex].

Step-by-step 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.

[tex]y=x+612 mi[/tex]

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

[tex]v=\frac{x}{4h}[/tex]

Then, we set the speed d e equal v:

[tex]v=\frac{d}{h}[/tex]

[tex]\frac{x}{4h} = \frac{d}{h}[/tex]

Clearing x we get:

[tex]x=4h * \frac{d}{h}[/tex]

[tex]x=4d[/tex]

Have a nice day!

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