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KonstantinChe [14]
10 months ago
9

Which function can represent the height, y, of the railing in inches according to the horizontal distance in inches, x, from the

top of the stairs? y = â€"startfraction 3 over 4 endfractionx 36 y = â€"3x 36 y = startfraction 3 over 4 endfractionx 36 y = 3x 36
Mathematics
1 answer:
hodyreva [135]10 months ago
4 0

The function representing the height is y = 36 - \frac{3}{4} x.

<h3>What is function?</h3>

A formula, rule, or legislation that specifies how one variable (the independent variable) and another variable are related (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

<h3>What is fraction?</h3>

Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many components of a particular size there are when stated in ordinary English.

Given that,

Height of rails h is 36in.

The rate of decrement is 9 inches for every 12 horizontal inches,

We represent the rate (r) as a fraction.

r = -\frac{9}{12} (negative, because it decreases),

r = -\frac{3}{4},

So, the function is

Y = h + r × x

Where,

X is distance from top

So, y = 36 -\frac{3}{4}x

To know more about function, visit:

brainly.com/question/14418346

#SPJ4

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Monica [59]

Answer:

a). Nadia made a total of $825 last week in commission sales

b). The total amount Nadia in commission in 2011=$42,900

Step-by-step explanation:

Step 1

Express the amount in commission she earns from her sales as follows;

C=S×r

where;

C=commission earned

S=total value of stock sales

r=commission rate

In our case;

C=unknown

S=$7,500

r=11%=11/100=0.11

replacing;

C=11% of 7,500

C=(11/100)×7,500

C=0.11×7,500=825

Nadia made a total of $825 last week in commission sales

b). To express the total amount she made in 2011, we derive the formula below;

Total amount (2011)=Average weekly commission×number of weeks in 2011

where;

Average weekly commission=$825

number of weeks in 2011=52

replacing;

Total amount (2011)=(825×52)=42,900

The total amount Nadia in commission in 2011=$42,900

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