Which equation represents the relationship between the number
of miles traveled and how much it cost?

miles (x) cost (y)
1 $4
2 $8
3 $12
4 $16

Step-by-step explanation:

Let

x ----> the number of miles

y ----> the cost in dollars

step 1

Find the slope

The formula to calculate the slope between two points is equal to

take the points

(2,8) and (3,12)

substitute

Remember that the slope is the same that the unit rate of the linear equation

In this problem the slope means ----> $4 per mile

step 2

Find the equation in point slope form

we have

substitute

step 3

Convert to slope intercept form

isolate the variable y

The equation represent a proportional relationship between the variables x and y

y = 2x

step-by-step explanation:

if you divide each number in the sequence, you'll see that they all have a multiple factor of 2. each number in the series, and any other numbers which may continue, will be multiplied by 2. therefore, y is the next number in the sequence, and x is the current one, so, our formula will be y = 2x.

6 meters

step-by-step explanation: