Frankie can plant a garden by herself in 10 hours. when her son garyn her, the total time it takes them to plant the garden is 4 hours. how long would it take garyn to plant the garden himself?

Step-by-step explanation:

step 1

we know that

Frankie can plant a garden by herself in 10 hours

so

100% of the work -------> 10 hours

Using proportion

Find the percentage he can do in 1 hour

step 2

we know that

When her son Garyn helps her, the total time it takes them to plant the garden is 4 hours

so

100% of the work (Frankie and Garyn) -------> 4 hours

Remember that

Frankie in 1 hour can do 10%

so

Frankie in 4 hours can do----------> 10%*4=40%

therefore

Garyn in 4 hours can do--------> 100%-40%=60%

step 3

using proportion

Find how long would it take Garyn to plant the garden himself

b. y = 4x - 2

step-by-step explanation:

to find a parallel equation to an equation, make sure both equations have the same slope but different y-intercepts.

y = 4x + 1

4 = slope

1 = y-intercept

y = 4x - 2

4 = slope

-2 = y-intercept

they both have the same slope but different y-intercepts, so, b. is the correct answer.

and to check your work, you can graph both equations. : )

5

step-by-step explanation: