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

Miles, x
Cost, y
2
8.50
5
15.25
8
22.00
12
31.00

What is the y-intercept of this function?

2.25
4.00
6.50
17.13


Sagot :

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:

[tex]m = \frac{y_2- y_1}{x_2 - x_1}[/tex]

Where

[tex](x_1,y_1) = (2,8,50)[/tex]

[tex](x_2,y_2) = (12,31.00)[/tex]

[tex]m = \frac{31.00 - 8.50}{12 - 2}[/tex]

[tex]m = \frac{22.5}{10}[/tex]

[tex]m = 2.25[/tex]

Next, we calculate the equation:

[tex]y - y_1 = m(x - x_1)[/tex]

Where:

[tex](x_1,y_1) = (2,8,50)[/tex]      

[tex]m = 2.25[/tex]

The equation becomes:

[tex]y - 8.50 = 2.25(x - 2)[/tex]

[tex]y - 8.50 = 2.25x -4.5[/tex]

Make y the subject

[tex]y = 2.25x -4.5+8.50[/tex]

[tex]y = 2.25x +4[/tex]

Take [tex]x =0[/tex]; to get the y intercept

[tex]y = 2.25*0 +4[/tex]

[tex]y = 4[/tex]

Hence, the y intercept is 4.00

Answer:

The answer is B

Step-by-step explanation:

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