Kathy and cheryl are walking in a fundraiser. kathy completes the course in 4.8 hours and cheryl completes the course in 8 hours. kathy walks 2 miles per hour faster than cheryl. find kathy's speed and cheryl's speed.

Kathy's speed is equal to

Cheryl's speed is equal to

Step-by-step explanation:

Let

x-----> Kathy's speed

y----> Cheryl's speed

d----> the distance in miles

t----> the time in hours

s-----> the speed in miles per hour

we know that

The speed is equal to the distance divided by the time

so

solve for the distance d

In this problem

----> equation A

Kathy's speed

we have

substitute in the formula of distance

-----> equation B

substitute equation A in equation B

------> equation C

Cheryl's speed

we have

substitute in the formula of distance

-----> equation D

Remember that the distance is the same in both cases

so

equate equation C and equation D and solve for y

Find the value of x

----->

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is symmetric about the line y = 120,000.

step-by-step explanation:

y = 3x+4

step-by-step explanation:

to find the slope

slope = (y2-y1)/ (x2-x1)

    = (-8-4)/ (-4-0)

    = -12/-4

  = 3

using the slope intercept form of a line

y= mx+b

we know the slope is 3

we know the y intercept is 4 ( the point where it crosses the y axis or x=0)

y = 3x+4