Question

. A clothing manufacturer needs 2.4 yards of fabric to make a coat and 1.6 yards of fabric to make a matching crop pants.

The number of coats, x, and crop pants, y, that can be made from a 48-yard bolt of fabric can be represented by the
equation 2.4x + 1.6y = 48. Graph the function and find its intercepts. What does each intercept represent?

Answer 1

Convert to an equation y in terms of x:
Y = (-2.4x + 48)/1.6
X Intercept is where y = 0
0 = -2.4x/1.6 + 48/1.6
X = 20

Y intercept is where x = 0
Y = (-2.4*0)/1.6 + 48/1.6
Y = 30

X and y are how coats and pants are made respectfully so the x intercept is where y = 0, meaning no pants are made, only jackets. The y intercept is the opposite, it’s how many pants can be made if no jackets are made.