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2 years ago

Is m=0.75d-2 proportional?

2 answers:

4 0

No, a proportion will have a constant for the ratio m/d

If m = 0.75d, then ratio m/d = (0.75d)/d = 0.75

In this example, the ratio is (.75d-2)/d = 0.75 - (2/d).

Therefore, it is not proportional.

m_a_m_a [10]2 years ago

4 0

Answer:

No, the equation m=0.75d-2 does not represent proportional relationship.

Step-by-step explanation:

The given equation is

$m=0.75d-2$

We need to check whether the given equation represents proportional relationship or not.

If variable y is proportional to variable x, then

$y\propto x$

$y=kx$

where, k is the constant of proportionality.

At x=0 the value of y is 0. It means, if a linear equation represents proportional relationship then it must be passes though the origin.

Substitute d=0 in the given equation.

$m=0.75(0)-2$

$m=-2$

The line passes through the point (0,-2).

Since the line does not pass through the origin, therefore it does not represent proportional relationship.

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Answer:

Part 1) 40% of the 80 ounce bottle of apple juice is water

Part 2) 75% of the 64 ounce bottle of orange juice is water

Part 3) An 64 ounce bottle of orange juice has a greater percent of water

Step-by-step explanation:

Part 1) we know that

An 80 ounce bottle of apple juice contains 32 ounces of water

In this problem

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using proportion

Find out how much percentage represent 32 ounces of water

Let

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$\frac{80}{100}=\frac{32}{x} \\\\x=100(32)/80\\\\x=40\%$

therefore

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Part 2) we know that

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In this problem

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using proportion

Find out how much percentage represent 48 ounces of water

Let

x ----> the percentage of ounces of water

$\frac{64}{100}=\frac{48}{x} \\\\x=100(48)/64\\\\x=75\%$

therefore

75% of the 64 ounce bottle of orange juice is water

Part 3) which juice has a greater percent of water?

Compare the percentage of ounces of water in both bottles

$75\% > 40\%$

therefore

An 64 ounce bottle of orange juice has a greater percent of water

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