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2 months ago

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The final cost of a sale item is determined by multiplying the price on the tag by 75%. Which best describes the function that r

epresents the situation? It is linear because the ratio of the change in the final cost compared to the rate of change in the price tag is constant. It is linear because the function is continuous. It is nonlinear because the final cost is determined by multiplying each price tag by 0.75. It is nonlinear because the price tag and final cost columns do not have the same common difference.

2 answers:

Zina [12.3K]2 months ago

7 0

Let's denote the price on the tag as $p and the sale price as $s.

Given that the final cost equals 75% of the price tag,

$75% = \frac{75}{100} = 0.75$

$s = 0.75\times p$

$s=0.75p$

Comparing this to the slope-intercept form y = mx + c, where c = 0,

the slope m equals 0.75 and remains constant.

Thus, the function is clearly linear.

This excludes options C and D.

Since all linear functions are continuous but prices cannot be zero in this context, option B is unsuitable.

Therefore, option A is accurate.

Svet_ta [12.7K]2 months ago

6 0

We start by developing an equation relating the sale price and the final price.

Let the original price be x and the final cost be y. Since the final cost is 75% of the price, we write

y = 0.75x

This matches the equation of a straight line y = mx + c with c = 0 and slope m = 0.75.

This confirms the function is linear, ruling out options (3) and (4).

Moreover, as the function has a specific formula y = 0.75x, it is not discontinuous; therefore, option (2) is invalid.

Consequently, option (1) is the correct choice.

Answer: (1) It's linear because the ratio of the change in the final cost to the change in price remains constant.

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Answer:

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The initial step is to convert all values to grams using rules of three, followed by summation.

In a rule of three calculation, the first step is identifying the measures and how they interrelate; whether their connection is direct or inverse.

In direct relationships, as one measure increases, so does the other.

In inverse relationships, as one measure increases, the other decreases.

Problems involving unit conversion, like this, illustrate a direct relationship between measures.

First step: convert 0.0025kg to grams

One kilogram equals 1000 grams, so:

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x = 1000*0.0025 = 2.5g

Thus, 0.0025kg is equal to 2.5g

Second step: handle 1750 mg

One gram consists of 1000mg, so:

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x = 1.75g

Therefore, 1750 mg converts to 1.75g

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Third step: convert 825,000 μg to grams

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$x = \frac{825,000}{1,000,000}$

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La casa fue vendida por Bianca en 2019 con una pérdida del 5%. Esto implica que el 5% de pérdida equivale a 0.05(1.2x) = 0.06x.

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Answer:

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Step-by-step explanation:

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