Question

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?

Answer 1

Answer:

4

Step-by-step explanation:

a linear function is

y = ax + b

so, for the first pair of x, y

8.5 = 2a + b

b = 8.5 - 2a

the second pair

15.25 = 5a + b

let's use the substitution information from the first pair :

15.25 = 5a + 8.5 - 2a

6.75 = 3a

a = 2.25

b = 8.5 - 2×2.25 = 8.5 - 4.5 = 4

so, we get as linear function

y = 2.25x + 4

that means the y-intercept (x = 0) is at y = 4

y = 2.25×0 + 4 = 4

Answer 2

The y-intercept of this function will be at (0, 4).

What is the linear system?

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

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

Then the linear equation will be

y - 8.50 = [(31.00 - 8.50) / (12 - 2)] (x - 2)

y - 8.50 = 2.25(x - 2)

y - 8.50 = 2.25x - 4.5

          y = 2.25 + 4

The graph of the equation is given below.

Then the y-intercept of this function will be at (0, 4).

More about the linear system link is given below.

https://brainly.com/question/20379472

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