In an adventure game, a player begins with $30$ points and receives $3$ points for collecting each coin. If the player has 150 points at the end of a level, then find the correct algebraic equation for the relation between the total points and the number of coins $(x)$ .

3 x + 30 = - 150

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3 x - 30 = 150

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3 x + 30 = 150

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3 x + 150 = 30

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Solution

The correct option is C $3 x + 30 = 150$
The player begins with $30$ points.
Each coin gives him $3$ points.
At the end of a level, the player had $150$ points.
The number of coins collected $= x$
$∴$ The algebraic expression for the points collected in the game $= 3 \times x + 30$
Also this is equal to the final number of points, which is $150$ .
$∴$ The required algebraic equation $3 x + 30 = 150$

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In an adventure game, a player begins with 30 points and receives 3 points for collecting each coin. If the player has 150 points at the end of a level, then find the correct algebraic equation for the relation between the total points and the number of coins (x).

In an adventure game, a player begins with $30$ points and receives $3$ points for collecting each coin. If the player has 150 points at the end of a level, then find the correct algebraic equation for the relation between the total points and the number of coins $(x)$ .