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17 votes
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

2 Answers

8 votes

Answer:

The answer is B

Explanation:

User Avishekh Bharati
by
3.3k points
0 votes

Answer:

4.00

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 = (y_2- y_1)/(x_2 - x_1)

Where


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


(x_2,y_2) = (12,31.00)


m = (31.00 - 8.50)/(12 - 2)


m = (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

User Sivadas Rajan
by
3.5k points