Apatio door is 72inches side. if a drawing of the door is made with a scale of 2 inches. = 3ft, what is the width of the door on the drawing?

In this problem, the reference of the scale is referring to feet. Firstly, convert 72 inches to feet so that you can properly make the proportion.

72 inches = 6 feet

With the scale of 2 inches per 3 feet, we can set up an easy proportion to see how wide the door will be on the drawing.

3 feet 6 feet
——— = ————
2 inc. ‘x’ inc.

3x=12
X=4 inches

Solving the proportion by cross-multiplication reveals that the scale drawing of the patio door would be 4 inches wide.

1. you described it correctly, but the final answer would be y = (-2/3)x + 490

2. to graph it from slope intercept formula, you first find the point on the y axis that matches the y-intercept. in this case it would be (0,490) (x coordinate always being 0). slope is rise/run, so you would either go down 2, and right 3, or up 2 and left 3. (see image for more detail). then, draw a line between the two points.

3. f(x) = (-2/3)x + 490

4. see attached image. i used desmos.com. you can save and upload that image.

step-by-step explanation: