Question

On a map that is drawn to scale, 6 inches represents a distance of d miles. Which of the following represents the distance, in inches, of d+1 miles on the map?A. d(d+1)/6B. 6(d+1)/dC. d+1/6dD. 6d/d+1E. 6/d(d+1)

Answer 1

Answer:

Option B.

Step-by-step explanation:

It is given that on a map 6 inches represents a distance of d miles.

We need to find the distance, in inches which represents the distance of d+1 miles on the map.

Let x be the distance, in inches which represents the distance of d+1 miles on the map.

$\dfrac{6}{d}=\dfrac{x}{d+1}$

Multiply both sides by (d+1).

$\dfrac{6}{d}\times (d+1)=\dfrac{x}{d+1}\times (d+1)$

$\dfrac{6(d+1)}{d}=x$

The expression $\dfrac{6(d+1)}{d}$ represents the distance of d+1 miles on the map.

Therefore, the correct option is B.