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user100 [1]
3 years ago
14

The graph represents the cost of a subscription to a newspaper. A coordinate plane showing Ferry Ride Cost with Number of Person

s on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 2) and (5, 8). What is the constant of variation for the subscription cost based on the number of weeks? $1.50 $7.50 $15.00 $30.00
Mathematics
2 answers:
lapo4ka [179]3 years ago
8 0

Answer:

A

Step-by-step explanation:

allochka39001 [22]3 years ago
7 0

Answer:

The constant of variation is $1.50

Step-by-step explanation:

Given

Point 1 (1,2)

Point 2 (5,8)

Required

Constant of Variation

Though the graph would have assisted in answering the question; its unavailability doesn't mean the question cannot be solved.

Having said that,

the constant variation can be solved by calculating the gradient of the graph;

The gradient is often represented by m and is calculated as thus

m = \frac{y_2 - y_1}{x_2 - x_1}

Where

(x_1, y_1) = (1,2)\\(x_2, y_2) = (5,8)

By substituting values for x1,x2,y1 and y2; the gradient becomes

m = \frac{8 - 2}{5 - 1}

m = \frac{6}{4}

m = \frac{3}{2}

m = 1.50

Hence, the constant of variation is $1.50

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Answer:

<u>Graph of the equation y = 2/5x - 1</u>

Please check the attached graph of the equation where:

The point  (0, -1) represents the y-intercept, it is the point where the line crosses the y-axis.

The point  (2.5, 0) represents the x-intercept, it is the point where the line crosses the x-axis.

Step-by-step explanation:

Given the equation

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<u>Determining the y-intercept:</u>

We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.

As the equation is given such as

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substitute x = 0

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so the ordered pair (0, -1) represents the y-intercept.

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<u>Determining the x-intercept:</u>

We know that the value of the x-intercept can be determined by setting x = y and determining the corresponding value of x.

As the equation is given such as

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<u>Graph of the equation y = 2/5x - 1</u>

Please check the attached graph of the equation where:

The point  (0, -1) represents the y-intercept, it is the point where the line crosses the y-axis.

The point  (2.5, 0) represents the x-intercept, it is the point where the line crosses the x-axis.

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~ ᴄʟᴏᴜᴛᴀɴꜱᴡᴇʀꜱ

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