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

y=6x+10 is correct

Step-by-step explanation:

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

Step-by-step explanation:

we know that

The linear equation in slope intercept form is equal to

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

The y-intercept  is

----> initial value (value of y when the value of x is equal to zero)

substitute

x> 6

step-by-step explanation:

8x+8> 7x+14

8x-7x> 14-8

x> 6