Question

Ryan starts 10 miles from his house and then runs further away at 6 miles per hour. Write an equation for y, the total distance he is from his house, in x hours.

y = 4x


y = 16x


y = 6x - 10


y = 6x + 10

Answer 1

`y=6x+10`

Explanation:

we know that

The linear equation in slope intercept form is equal to

`y=mx+b`

where'

m is the slope or unit rate

b is the y-intercept of initial value

In this problem

Let

x ----> the time in hours

y ----> the distance in miles

we have

The speed is the same that the unit rate or slope of the linear equation

so

`m=6\ (miles)/(hour)`

The y-intercept is

`b=10/ miles` ----> initial value (value of y when the value of x is equal to zero)

substitute

`y=6x+10`

Answer 2

y=6x+10 is correct

Explanation:

The 10 miles is the original distance,and then add 6 miles per hour