Answer:
2,000 miles
Step-by-step explanation:
We are given:
[tex]1 inch=500 miles[/tex]
This can be rewritten as:
[tex]\frac{500 miles}{1inch}[/tex]
This is representative of a unit rate, as we have a [tex]1[/tex] in the denominator. To calculate the number of miles in [tex]4[/tex] inches, simply multiply the unit rate by [tex]4[/tex]:
[tex]\frac{500 miles}{1inch}*4=[/tex]
[tex]\frac{2000 miles}{4 inches}[/tex]
This can rewritten as:
[tex]4inches=2000miles[/tex]
Therefore, there are 2,000 miles in 4 inches.
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We can check our solution by simplifying the fraction [tex]\frac{2000 miles}{4 inches}[/tex] by dividing both [tex]2000[/tex] and [tex]4[/tex] by [tex]4[/tex] to see if we achieve the unit rate:
[tex]\frac{500 miles}{1 inch}[/tex]
Since this is in fact the unit rate, our solution is correct!
