Question

The video streaming service that you want to use is represented with the equation below, where y represents the the total monthly cost of the service and x represents the number of videos you plan to stream each month
if the x is 0,5,8,10,30 and y is 5,11.25, 15,17.5, 42.5what does the initial value represent in the problem and the rate of change

Answer 1

The coefficients of the linear relation are:

• Initial value = 5
• Rate of change = 1.25

How to find a linear equation?

A general linear equation is given by:

y = a*x + b

Where a is the slope (also called the rate of change) and b is the y-intercept (also called the initial value).

If we know that the line passes through two points (x₁, y₁) and (x₂, y₂), then the slope is given by:

$a = \frac{y_2 - y_1}{x_2 - x_1}$

Here we will use only need the first two pairs from the table (you can use any two you want).

(0, 5)

(5, 11.25)

From the first one, you can see that when x = 0, y = 5.

Replacing that in the general linear equation we get:

5 = a*0 + b

5 = b

So we already know the initial value. Now we can use these two points to get the slope (rate of change).

$a = \frac{11.25 - 5}{5 - 0} = 1.25$

Then we can conclude:

• Initial value = 5
• Rate of change = 1.25

If you want to learn more about linear equations, you can read:

brainly.com/question/4074386