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prohojiy [21]
3 years ago
15

In the table below, x represents miles traveled and y represents the cost to travel by train.

Mathematics
2 answers:
Fiesta28 [93]3 years ago
8 0

Answer:

4.00

Step-by-step explanation:

Given

x:   2  ,      5   ,     8     , 12

y: 8.50, 15.25, 22.00. 31.00

Required

Determine the y intercept

First, we calculate the slope:

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

Where

(x_1,y_1) = (2,8,50)

(x_2,y_2) = (12,31.00)

m = \frac{31.00 - 8.50}{12 - 2}

m = \frac{22.5}{10}

m = 2.25

Next, we calculate the equation:

y - y_1 = m(x - x_1)

Where:

(x_1,y_1) = (2,8,50)      

m = 2.25

The equation becomes:

y - 8.50 = 2.25(x - 2)

y - 8.50 = 2.25x -4.5

Make y the subject

y = 2.25x -4.5+8.50

y = 2.25x +4

Take x =0; to get the y intercept

y = 2.25*0 +4

y = 4

<em>Hence, the y intercept is 4.00</em>

svet-max [94.6K]3 years ago
6 0

Answer:

The answer is B

Step-by-step explanation:

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