Question

kevin durants total points in a season can be represented by the equation $y = 30x + 200$ where $y$ represents the total points and $x$ represents the number of games played.
if he has 1400 total points right now, then how many games have been played?

Explanation:

Step1: Substitute y with 1400

We know the equation is \( y = 30x + 200 \), and \( y = 1400 \). So we substitute \( y \) in the equation: \( 1400 = 30x + 200 \)

Step2: Subtract 200 from both sides

To isolate the term with \( x \), we subtract 200 from both sides: \( 1400 - 200 = 30x + 200 - 200 \), which simplifies to \( 1200 = 30x \)

Step3: Divide both sides by 30

To solve for \( x \), we divide both sides by 30: \( \frac{1200}{30} = \frac{30x}{30} \), which gives \( x = 40 \)

Answer:

40