On a map, each inch represents \( 6.5 \) miles. What is the distance represented by \( 6 \) inches? 

Step \( 1 \) of 2: Set up the proportion for the word problem. Use \( x \) as the unknown variable. 

Ali's latest photo got \( 42 \) likes. This is \( 3 \) times as many likes as Kate's latest photo. How many likes did Kate's photo get? Select the correct solution method below, using \( x \) to represent Kate's likes. 

A. \( 3 x = 42 \) . Divide both sides by \( 3 \) . Kate's photo got \( 14 \) likes. 

B. \( \frac { x } { 3 } = 42 \) . Multiply both sides by \( 3 \) . Kate's photo got \( 126 \) likes. 

C. \( x + 3 = 42 \) . Subtract \( 3 \) from both sides. Kate's photo got \( 39 \) likes. 

D. \( x - 3 = 42 \) . Add \( 3 \) to both sides. Kate's photo got \( 45 \) likes. 

Ali's latest photo got \( 42 \) likes. This is \( 3 \) times as many likes as Kate's latest photo. How many likes did Kate's photo get? Select the correct solution method below, using \( x \) to represent Kate's likes.

A. \( 3 x = 42 \) . Divide both sides by \( 3 \) . Kate's photo got \( 14 \) likes. 

B. \( \frac { x } { 3 } = 42 \) . Multiply both sides by \( 3 \) . Kate's photo got \( 126 \) likes. 

C. \( x + 3 = 42 \) . Subtract \( 3 \) from both sides. Kate's photo got \( 39 \) likes. 

D. \( x - 3 = 42 \) . Add \( 3 \) to both sides. Kate's photo got \( 45 \) likes. 

Ali's latest photo got \( 42 \) likes. This is \( 3 \) times as many likes as Kate's latest photo. How many likes did Kate's photo get? Select the correct solution method below, using \( x \) to represent Kate's likes. 

A. \( 3 x = 42 \) . Divide both sides by 3. Kate's photo got \( 14 \) likes. 

B. \( \frac { x } { 3 } = 42 \) . Multiply both sides by \( 3 \) . Kate's photo got \( 126 \) likes. 

C. \( x + 3 = 42 \) . Subtract \( 3 \) from both sides. Kate's photo got \( 39 \) likes. 

D. \( x - 3 = 42 \) . Add \( 3 \) to both sides. Kate's photo got \( 45 \) likes. 

While driving from his house to the beach, Cameron passed a sign that read "Beach: \( 21 \) Miles." If the distance from Cameron's house to the beach is \( 46 \) miles, how many miles had Cameron already traveled? 

A. \( 21 + x = 46 \) 

B. \( 46 + x = 21 \) 

C. \( x - 46 = 21 \) 

D. \( x - 21 = 46\)