This is confusing me! I don't even know what the question means!
"Convert the map scale to a unit rate. How many inches represent one mile? Show your work. Interpret the meaning of the unit rate.
3/10 in. = 7/8 mi"
Can someone help?
Ms. Sue no one understands the answer your tryna give can't you just say the actual answer.
Of course! I'm here to help you understand the question and how to solve it step by step.
First, let's break down the question and understand what it is asking.
The question asks you to convert the scale of a map to a unit rate. In particular, it asks how many inches represent one mile. To solve this, we are given the scale, which is expressed as a fraction: 3/10 inches = 7/8 miles.
To convert the given fraction into a unit rate, we need to find the equivalent ratio that represents the relationship between inches and miles. Since we want to determine how many inches represent one mile, we need to compare the two measurements.
To do this, we can set up a proportion by setting the two ratios equal to each other. We have:
(3/10 inches) / (7/8 miles) = (x inches) / (1 mile)
Now, we can cross-multiply the fractions:
(3/10) * (1 mile) = (7/8) * (x inches)
This simplifies to:
3/10 = 7/8 * (x inches)
To isolate x, we need to solve for it. We can do this by dividing both sides of the equation by (7/8):
(3/10) / (7/8) = x inches
To divide fractions, we can multiply the first fraction by the reciprocal of the second fraction:
(3/10) * (8/7) = x inches
Simplifying this expression gives us:
24/70 = x inches
Now, we can reduce the fraction by dividing both the numerator and denominator by their greatest common divisor (in this case, it is 2):
12/35 = x inches
Therefore, the unit rate is 12 inches represent 35 miles.
Now, let's interpret the meaning of the unit rate. It tells us that for every 35 miles, there are 12 inches on the map. This means that 1 mile on the map is represented by 12/35 inches.
I hope this explanation helps you understand how to solve the problem and interpret the unit rate. If you have any further questions, feel free to ask!
First, study this to learn about a map scale.
http://www.webquest.hawaii.edu/kahihi/mathdictionary/S/scalemap.php
Use a proportion to solve your problem.
(3/10)/(7/8) = x/1
(7/8)x = (3/10)
x = (3/10) / (7/8)
x = (3/10) * (8/7)
x = 24/70 = 12/35 inches = 1 mile