Question

his table gives the dimensions for a scale drawing of a house. Every 2 inches on the scale drawing represents 1.5 feet of the original house. Use proportional reasoning to complete the table with the original lengths. A 2-column table with 4 rows. Column 1 is labeled Scale model (inches) with entries 2, 8, 12, 16. Column 2 is labeled Original length (feet) with entries 1.5, a, b, 12. a = b =

Answer 1

The value of the a and b will be 6 and 9 feet. Every 2 inches on the scale drawing represents 1.5 feet of the original house.

What is unit conversion?

The process of converting the unit form is known as the unit conversion. For example, in the SI unit system, mass is in kg. While in CGS, it is represented in grams.

The given conversion is ;

$\rm 2 \ inch = 1.5 \ feet \\\\ 1 inch = \frac{1.5}{2} \ feet$

For 8, 12 inches, the values in feet is;

$\rm 8 \times \frac{1.5}{2} = 6 \ feet$

$\rm 12 \times \frac{1.5}{2} = 9 \ feet$

Hence, the value of the a and b will be 6 and 9 feet.

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Answer 2

The value a= 6 and b=9.

What is unit conversion?

The process of converting the unit form is known as the unit conversion.

For example, in the SI unit system, distance is in meter while in CGS, it is represented in cm.

Given that:

2 inch = 1.5 feet

1 inch = $\frac{1.5}{2}$

then, 8 inches =$\frac{1.5}{2} *8$

                        = 1.5*4

                        = 6 feet

again, 12 inches= $\frac{1.5}{2} *12$

                          = 1.5*6

                         = 9 feet

and, 16 inches =$\frac{1.5}{2} *16$

                          = 1.5*8

                          = 12 feet

The value of a & b is 6 and 9 respectively.

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