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Mason is getting quotes from two different landscaping companies to put river rock along one side of his house at a depth of 0.5 foot. The surface area of the space he wishes to install rock in is rectangular and has a length that is eight times its width.

The first company charges $3.50 per cubic foot of rock and $80 for delivery. The second company charges $2.50 per cubic foot of rock and $120 for delivery.

Which system of equations can be used to determine the value of the width, x, at which the cost of the two companies, y, is the same?

Mason is getting quotes from two different landscaping companies to put river rock along one side of his house at a depth of 05 foot The surface area of the spa class=

Respuesta :

Answer:

B. y=14x^2+80

y=10x^2+120

Step-by-step explanation:

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The system of equations can be used to determine the value of the width, x, at which the cost of the two companies, y, is the same is y = 14x² +80 and y = 10x² +120, the correct option is B.

What is the volume of a Cuboid?

The volume of the cuboid is given by Length* Width * Depth

Let the width of the rectangular area is x

Then the length is given by 8x

Depth is 0.5 foot

The volume is given by 0.5 * 8x * x

Volume = 4x² cu.ft

The cost of the two companies, y, is the same

The first company charges $3.50 per cubic foot of rock and $80 for delivery

The equation becomes,

y = 3.50 * 4x² +80

y = 14x² +80

The second company charges $2.50 per cubic foot of rock and $120 for delivery.

The equation becomes,

y = 2.5 * 4x² + 120

y = 10x² +120

To know more about Volume of a Cuboid

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