Question

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

Answer 1

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

$y = 2.25*0 +4$

$y = 4$

Hence, the y intercept is 4.00

Answer 2

Answer:

The answer is B

Step-by-step explanation: