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tangare [24]
3 years ago
5

The cost of renting an apartment can be modeled by the function C(m)=900m+1400, where C(m) is the cost in dollars for m months o

f living in the apartment. State the meaning of the slope and y-intercept of this function with respect to the costs associated with renting the apartment.
Mathematics
1 answer:
Ahat [919]3 years ago
5 0

Answer:

On the context of the problem, the slope means the total paid for every month that the apartment is rented, 900 per month in this case, while the y-intercept means the initial cost for renting the apartment, 1400 upfront in this case.

Step-by-step explanation:

This function is linear, which means that it increases at a steady rate and has the following form:

y(x) = a*x + b

Where "a" is the slope or the rate at which "y" changes for every change in "x". While "b" is the number at which the function crosses the "y" axis.

On the context of the problem, the slope means the total paid for every month that the apartment is rented, 900 per month in this case, while the y-intercept means the initial cost for renting the apartment, 1400 upfront in this case.

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Answer:

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Step-by-step explanation:

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Answer:

\left ( \frac{3x_2+5x_1}{8},\frac{3y_2+5y_1}{8} \right )

Step-by-step explanation:

Given: P is Three-fifths the length of the line segment from K to J

To find: x- and y-coordinates of point P on the directed line segment from K to J

Solution:

Section formula:

Let point K and J be (x_1,y_1)\,,\,(x_2,y_2) such that the point p(x,y) divides KJ in ratio m:n

Then coordinates of point  P are given by \left ( \frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n} \right )

Take m:n=3:5

So,

coordinates of point P = \left ( \frac{3x_2+5x_1}{3+5},\frac{3y_2+5y_1}{3+5} \right )=\left ( \frac{3x_2+5x_1}{8},\frac{3y_2+5y_1}{8} \right )

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3 years ago
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Greeley [361]

Answer:

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Step-by-step explanation:

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disa [49]

Alright, lets get started.

Lets check each possible answer one by one.

We will start from option B.

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For option C,

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For option D,

Angle c° and angle f° are similar angles so, their ratio will be \frac{c}{f}  = 1. Hence option D is incorrect.

Now option A,

ED and AB are corresponding sides. ED is from bigger triangle and AB is from smaller triangle. Their ratio will be \frac{ED}{AB} =  \frac{5}{4}. Hence option A is correct answer.

Hope it will help :)




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2 years ago
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Step-by-step explanation:

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