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Diano4ka-milaya [45]
3 years ago
7

Molly wants her rectangular rooftop garden plot to have an area of 21 square feet. If she makes the width 5 feet, what must be t

he length? is this an example of direct variation or inverse variation?
A)105 ft; direct
B)4.2 ft;direct
C)4.2 ft; inverse
D)105 ft;inverse
Mathematics
2 answers:
Over [174]3 years ago
3 0
Area = length x width
21 = length x 5
length = 21/5 = 4.2

The length is inversely proportional to the width because as the length increases the width reduces and vice-versa

Citrus2011 [14]3 years ago
3 0

Answer:

Option C.

Step-by-step explanation:

Molly wants her rectangular rooftop garden to have the area = 21 feet²

Width of the rectangular garden is = 5 feet

Let the length of the garden = l feet

Since we know the formula of "area of the garden = Length × width"

Length = \frac{\text{Area of the garden}}{\text{Width}}

This formula represents length of the garden ∝ \frac{1}{\text{Width}}

Length of the garden is inversely proportional to the width of the garden.

(Length increases with the decrease in width)

Now we plug in the values in the formula.

l = \frac{21}{5}

 = 4.2 feet

Option C. is the answer.

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Option A: y+7 = 25(x+4) is the correct answer.

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The point-slope form of an equation of a line is given by:

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In each case, the x-values are equally-spaced. Thus looking at second differences will tell you if the relation is quadratic. If the second differences are non-zero and constant, then the values have a quadratic relationship.

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C. First differences are -23.2-(-23.4) = 0.2, -23.0-(-23.2) = 0.2, -22.8-(-23.0) = 0.2. Second differences are zero, so this is not a quadratic relation. (It is linear, with a slope of 0.2.)

D. First differences are 56-90 = -34, 26-56 = -30, 0-26 = -26. Second differences are -30-(-34) = 4, -26-(-30) = 4. These are constant (=4), so the relation is quadratic.

The appropriate choice is ...

... D. x -1 0 1 2 3 4

... f(x) 90 56 26 0 -22 -40

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