If the scale factor is 1/4 square inches = 5 ft. And the cost to build the house was $46,950, what would the cost be with the scale factor?
Why did you repost this?
I didn't this is the cost!
@ms.sue
It looks just like this one.
https://www.jiskha.com/display.cgi?id=1514132233
And you haven't answered Reiny's questions.
To calculate the cost of the house with the scale factor, we need to determine the ratio between the square inches and the feet.
Given that the scale factor is 1/4 square inches = 5 ft, we can convert it into a ratio by comparing the square inches to the feet.
Since 1/4 square inches is equal to 5 ft, we can write it as:
1/4 square inches / 5 ft
To simplify this ratio, we can multiply both the numerator and denominator by 4 to remove the fraction:
(1/4 square inches * 4) / (5 ft * 4)
This results in:
1 square inch / 20 ft
Now we have the ratio of 1 square inch to 20 feet.
To find the cost with the scale factor, we need to multiply the given cost of $46,950 by the ratio of 1 square inch to 20 feet:
$46,950 * (1 square inch / 20 ft)
To calculate this, we need to convert the units so that the square inches cancel out and leave us with the cost in dollars:
$46,950 * (1 square inch / 20 ft) * (144 sq in / 1 sq ft)
The value 144 sq in / 1 sq ft is derived from the fact that there are 144 square inches in 1 square foot.
Simplifying this expression, we get:
$46,950 * (1 * 144 square inches / 20 * 1 ft)
$46,950 * 144 square inches / 20 ft
Finally, multiplying these values together:
$46,950 * 144 square inches / 20 ft
This will give you the cost of the house with the scale factor applied.