The annual profits for a company are given in the following table, where x represents he number of years since \( 2014 \) , and y represents the profit in thousands of dollars. Nrite the linear regression equation that represents this set of data, rounding all coefficients to the nearest hundredth. Using this equation, find the projected profit (in thousands of dollars) for \( 2025 \) , rounded to the nearest thousand dollars.
\(y= 24x+ 70.200\)
\(y= 24\times (2025- 2014)+ 70.200= 334.200\)
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. \( x - 21 = 46\)