Final answer:
To find the missing length, set up a proportion using given scale length and unknown length x = 320 miles
Step-by-step explanation:
To find the missing length, we can set up a proportion using the given scale length and the unknown length. The ratio of the scale length to the unknown length should be equal to the ratio of the given scale measurement to the unknown measurement. In this case, the scale length is 8 inches and the scale measurement is 0.5 inch. Let the unknown length be x. We can set up the proportion as follows:
0.5 inch / 20 miles = 8 inches / x miles
To solve for x, we can cross-multiply and divide:
0.5 inch * x miles = 20 miles * 8 inches
x miles = (20 miles * 8 inches) / 0.5 inch
Now we can calculate the value of x by performing the necessary calculations.
Specifically, you're asked to use a scale factor to find an unknown actual length on a model or map.
Given the scale 0.5 inch/20 miles, we can set up a proportion where the scale length is 8 inches, and we need to find the unknown actual length in miles, which we will call x. The proportion will look like this:
0.5 inch/20 miles = 8 inches/x miles
To solve for x, we cross-multiply:
(0.5 inch) * (x miles) = (8 inches) * (20 miles)
x = (8 * 20) / 0.5
x = 320 miles