Two boats leave the same portheading in opposite directions. One boat travels 10 miles per hour and the other boat travels at 12 miles per hour. Formulate an equation in order to determine how long it will take for the two boats be 33 miles apart. Solve your equation and show all of your work

we have two boats moving in opposite directions! From the perspective of the starting point, it would look like the two boats started moving away from each other. However, imagine if you were standing on one of the moving boats. It would feel like you are standing still, and, relative to your position, the other boat would be moving away from you at your boat's speed of 10 mph plus the other boat's speed of 12 mph!

Since the two boats are moving in the exact opposite direction, their relative speed, or the speed they move relative to each other, is 10 mph + 12 mph, for a total of 22 mph. At that point, the equation is the same, Distance = Speed * Time.

33 miles = (10 mph + 12 mph) * T hours

33 miles = 22 mph * T hours

(33 miles) / (22 mph) = T hours

1.5 hours = T hours

1.4

2.3

step-by-step explanation:

the formula for the constant of variation is

y= kx

divide each side by x

y/x =kx/x

y/x =k

we know a and y

1.   y/x = k

4/1 =4

check the other values to make sure they are the same

8/2 = 4   12/3 =4   and 16/4 =4  

the constant of variation is 4

2.   y/x = k

3/1 =3

check the other values to make sure they are the same

6/2 = 3   9/3 =3   and 12/4 =3  

the constant of variation is 3