I need help with this. I have been stuck on it for a while. I'm not asking for answers, just a small explanation on how would I be able to find the answer.
Convert the map scale to a unit rate. How many inches represent one mile?
3/10in.=7/8mi.
Thank you.
you want to end up with a unit rate of in/mi. So, divide the inches by the miles:
(3/10 in) / (7/8 mi) = (3/10)/(7/8) in/mi = 3/10 * 8/7 in/mi = _____ in/mi
Multiply both sides by 8/7.
To convert the map scale to a unit rate and determine how many inches represent one mile, you need to set up a proportion between the given quantities:
The given map scale states that 3/10 inches represents 7/8 miles.
Let's set up the proportion:
(3/10 inches) / (7/8 miles) = (x inches) / (1 mile)
To solve this proportion, you can use the cross-multiplication method. Cross-multiplication means multiplying the numerator of the first fraction by the denominator of the second fraction and vice versa.
Cross-multiplying gives us:
(3/10) * (1 mile) = (7/8) * (x inches)
Next, simplify both sides:
(3/10) * (1 mile) = (7/8) * (x inches)
(3/10) * (8/7) = x inches
Multiplying these fractions gives:
24/70 = x inches
Now, simplify the fraction:
24/70 = 12/35 = x inches
Therefore, one mile is represented by approximately 12/35 inches on the map.
Note: The final answer may be expressed as a decimal or rounded to a specific number of decimal places depending on the desired level of precision.