Jack rode his bike 10 miles in 30 min. What was his approx. speed in mph?

Step-by-step explanation:

mph = miles per hour number of  miles traveled in one hour.

You know how far Jack traveled (10 miles)  in 30min (1/2 hour).  

If he continued at the same rate for another 1/2 hour (for a total of 1 hour), how far would he have traveled?  He would have traveled 20 miles in one hour; 20mph

You can use this formula to calculate his speed:

Rate = Distance * Time  , where Rate is mph, Distance is miles, Time is hours

    R = D / T

    R = 10 / 0.5         30 min is 30/60 hours or 1/2 or 0.5

    R =  20mph

see below

Parts a,b,c are done for each transformation

Step-by-step explanation:

We can shift f(x) to g(x) by  shifting f(x) to the left

y = f(x + k) k > 0 moves it left

f(x) has a point at ( 2,8) and g(x) has a point at (0,8)

0 -2 = -2

We want to move it 2 units to the left so they become the same point

g(x) = f(x+2)

We can shift f(x) to g(x) by  shifting f(x) up

y = f(x) + k  

k > 0 moves it up

f(x) has a point at (0,-2) and g(x) has a point at (0,8)

8 - -2 = 8+2 = 10

We want to move it 10 units up

g(x) = f(x) + 10