The question is an illustration of a linear equation
- The y-intercept is 40
- The slope is 4
- The equation of the line is
- You pay the distributor after 1 charge
- You pay $750,000 for 177.5 streams
From the question, we have the following parameters:
- Cost of distribution: $40.00
- Rate = $4.00 per unit
The cost of distribution represents the y-intercept, while the rate represents the slope.
Hence, the y-intercept is 40
<h3>(b) How to calculate the slope</h3>In (a), we have:
The rate represents the slope.
Hence, the slope is 4
<h3>(c) The equation of the line</h3>A linear equation is represented as:
Where:
- m represents the slope
- b represents the y-intercept
Using the results in (a) and (b), the linear equation is:
See attachment for the graph of the equation
<h3>(c) The number of streams you pay the distributor</h3>From the graph, we can see that the line touches the x-axis at the negative x-axis.
This means that, you pay the distributor after 1 charge
<h3>(d) The number of streams to pay $750,000</h3>This means that: y = 750.
So, we have:
Subtract 40 from both sides
Divide both sides by 4
Hence, you pay $750,000 for 177.5 streams
Read more about linear equations at:
