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vampirchik [111]
3 years ago
15

A telephone company charges a fixed monthly rate plus a rate per minute of usage. The company charges $155 for 100 minutes of us

age and $245 for 200 minutes of usage. An equation can be written to show the relationship between the total minutes used (x) and the total monthly charges (y). Which of the following best describes the steps to draw the graph of y against x?
A) draw a graph which joins the points (155, 100) and (245, 200) and has a slope = 0.9
B) draw a graph which joins the points (155, 100) and (245, 200) and has a slope = 1.1
C) draw a graph which joins the points (100, 155) and (200, 245) and has a slope = 1.1
D) draw a graph which joins the points (100, 155) and (200, 245) and has a slope = 0.9
Mathematics
2 answers:
torisob [31]3 years ago
8 0

Answer:

The answer is D.

Step-by-step explanation:

As said in the problem, we are labeling the total minutes used <em>x </em>and the total monthly income as <em>y</em>. This means that in the graph we will be making the y-axis should represent the total monthly charges, and the x-axis should represent the total minutes.

Thus the graph should go through points (100,155) and (200,245) and its slope is:

\frac{245-155}{200-100} =0.9.

Vinil7 [7]3 years ago
3 0

Answer:

The answer would be D according the the question at hand.

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3 years ago
A big-screen TV that previously sold for $2,400 has been marked down to $2,040. What is the percent of decrease?
Hitman42 [59]

[~Answer~] (8.):
Heyyy. I'm Avery, and I'm always here to help!

I believe the percent may be 15% ($2,400 - 15% = $2,040)

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[~Answer Explanation~}:

The percent of the difference is the rate of the difference * 100%

the percent of the difference = .15 * 100% = 15%

since the new price is less than the old price, that is the percent of the decrease.

(See if it'll work): $2,400- 15% = $2,040

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2 years ago
Identify the equation of the linear function through the points ​(- 2​,- 7​) and ​(1​,2​). Then state the rate of change of the
Assoli18 [71]

Answer:

The equation of line is y = 3 x - 1 , i.e option A  .

The rate of change = m = 3

Step-by-step explanation:

Given as :

The points are

(x_1,y_1 ) = (- 2, -7)

(x_2,y_2 ) = (1 , 2)

Let The slope = m

<u>Now, The slope is calculated in points form</u>

So, Slope = \dfrac{y_2-y_1}{x_2-x_1}

I.e m = \dfrac{2-(-7)}{1-(-2)}

or, m = \dfrac{9}{3}

I.e m = 3

So, The slope of points = m = 3

I,e Rate of change = m = 3

<u>Now, the equation of line in slope - point form can be written as</u>

y -y_1  = m ( x -  x_1)

where m is the slope of line

i.e y - (-7) = ( 3 ) × ( x - (-2) )

or, y + 7 =  3 × (x + 2)

∴ y + 7 = 3 x + 6

Or, y = 3 x + 6 - 7

Or, y = 3 x - 1

So, The equation of line is y = 3 x - 1

Hence, The equation of line is y = 3 x - 1 , i.e option A  .

And The rate of change = m = 3   Answer

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