Question

Jacob wants to buy shirts online. Each shirt costs 200 pesos. The

shipping cost is 120 pesos. Write the linear equation representing the
following:
1. Total cost that Jacob will pay after ordering the shirt in slope-
intercept form?
2. Total cost that Jacob will pay after ordering the shirt in standard
form?

Answer 1

1) y = 200x + 120

2) - 200x + y = 120

Explanation:

Equation of the line

The equation of the line in standard form is:

Ax + By = C

Where A, B, and C are constants.

The equation of the line in slope-intercept form is:

y = mx + b

Being m the slope and b the y-intercept.

1)

Each shirt costs 200 pesos. Let's assume Jacob purchases x shirts. The cost of the shirts alone is 200x.

Assuming the shipping cost is 120 regardless of the purchased shirts, then the total cost is:

y = 200x + 120

This is the slope-intercept form of the line.

2) Rearranging the above equation:

- 200x + y = 120

It's the standard form of the line