"david left the park traveling 16 mph. then 3 hours later, corey left traveling the same direction at 28 mph. how long until corey catches up with david?

The answer to your question 4 hours

Step-by-step explanation:

Data

David = 16 mph

Corey = 28 mph

first time = 3 hours

time = ?

Formula

solve for distance

distance = v x time

Process

1.- Calculate the distance David travelled during 3 hours

    distance = 3 x 16 = 48 m

2.- Write equations for the distance travelled by David and Corey

   David = 16t + 48

   Corey = 28t

3.- Equal both equations

                16t + 48 = 28t

4.- Solve for t

                16t - 28t = - 48

                -12t = -48

                    t = -48/-12

5.- Result

                    t = 4 hours

it will take 7 hours until Corey catches up with David

Step-by-step explanation:

At the time David catches up with Corey, they would have travelled the same distance. Let x represent this distance.

Distance = speed × time

Let t represent the time that David takes to cover x miles. David left the park traveling 16 mph. Therefore,

x = 16 × t = 16t

Then 3 hours later, Corey left traveling the same direction at 28 mph. It means that total time spent by Corey in travelling x miles is t - 3.

Distance travelled by Corey in (t - 3) hours would be

28(t - 3)

Since the distance covered is the same, then

16t = 28t - 84

28- 16t = 84

12t = 84

t = 84/12

t = 7 hours

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)

its kind of blurry. can you put a clearer pic?

step-by-step explanation: