A blueprint of a bedroom has a scale of 1 4 inch is equivalent to 1 foot. If the closet measures 1 2 inch by 3 4 inch on the blu
1 answer:
Answer:
The actual dimensions of the closet are 2 ft by 3 ft.
Step-by-step explanation:
According to the scale, 1/4 inch <--> 1 foot
The closet dimensions on the scale are (1/2 inch, 3/4) or (2/4 inch, 3/4). Let the real closet dimensions be (x,y).
In this case, the rule of three can be applied to find the missing term of a proportion:
The actual dimensions of the closet are 2 ft by 3 ft.
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For this case we have that by definition, the equation of the line of the slope-intersection form is given by:
Where:
m: It is the slope of the line
b: It is the cut-off point with the y axis.
According to the data of the statement we have the following points:
We found the slope:
Thus, the equation is of the form:
We substitute one of the points and find b:
Finally, the equation is:
Answer: