Question

If 1 inch is 500 miles, then 4 inches is how many miles?

Answer 1

Answer: 2,000 miles

Step-by-step explanation:

We know the unit rate is 500 inches per one inch.

Now, we will find out how many miles are in 4 inches.

We know 4 ÷ 1 = 4, so that means the denominator (miles in 4 inches) will be 4 times greater.

500 × 4 = 2000

Our final answer is 2,000.

Answer 2

Answer:

2,000 miles

Step-by-step explanation:

We are given:

$1 inch=500 miles$

This can be rewritten as:

$\frac{500 miles}{1inch}$

This is representative of a unit rate, as we have a $1$ in the denominator. To calculate the number of miles in $4$ inches, simply multiply the unit rate by $4$:

$\frac{500 miles}{1inch}*4=$

$\frac{2000 miles}{4 inches}$

This can rewritten as:

$4inches=2000miles$

Therefore, there are 2,000 miles in 4 inches.

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We can check our solution by simplifying the fraction $\frac{2000 miles}{4 inches}$ by dividing both $2000$ and $4$ by $4$ to see if we achieve the unit rate:

$\frac{500 miles}{1 inch}$

Since this is in fact the unit rate, our solution is correct!