Question

luis and jasmine are making scaled drawings. Luis uses the scale 3 inches to 10 ft and Jasmine uses the scale 5 inches to 20 ft. The tree in Luis's scaled drawing is 7.5 inches. How long would it be in Jasmine's?

Answer 1

To find out the length of the tree in Jasmine's scaled drawing, we need to determine the scale factor for converting between Luis's scale and Jasmine's scale.

Let's start by finding the scale factor for Luis's scale:
Luis's scale: 3 inches to 10 feet

The scale factor is the ratio of the corresponding lengths in the two scales. In this case, it is the ratio of the length in inches to the length in feet:
Scale factor for Luis's scale = 3 inches / 10 feet

Now let's determine the scale factor for Jasmine's scale:
Jasmine's scale: 5 inches to 20 feet

Scale factor for Jasmine's scale = 5 inches / 20 feet

To find the length of the tree in Jasmine's scaled drawing, we will use the proportion:


Plugging in the given values:


Simplifying the equation:


Calculating the length in Jasmine's scale:


Simplifying:




Simplifying and rounding to the nearest tenth:
feet

Therefore, the length of the tree in Jasmine's scaled drawing would be approximately 6.3 feet by