The graph of a direct variation equation passes through the point (4,6). Write the direct variation equation and find the value of y when x=24

y = 26

Step-by-step explanation:

Write the direct variation equation.

y = ax

Substitute y for 6 and x for 4.

The new equation is:

6 = a(4)

Simplify:

6 = 4a

Divide by 4 on both sides to get a = 6/4.

y = 6/4(24), 6/4 x 24 is 104/4. 104/4 is 26.

y = 26

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

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