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Central City High School's robotics team is at a competition. In the last round, the team earned 80 points for their robot climbing over an obstacle and an additional 12 points for each ball the robot shot through a hoop. They won the round with 344 total points.

Write an equation in the form [tex]\( a = bx + c \)[/tex] that can be used to find the number of balls, [tex]\( x \)[/tex], their robot shot through the hoop. Fill in [tex]\( a \)[/tex], [tex]\( b \)[/tex], and [tex]\( c \)[/tex] to complete the equation for this situation.

[tex]\( a = bx + c \)[/tex]



Answer :

GinnyAnswer
To create the equation for this situation, we need to identify the total points, the points earned for each ball shot through the hoop, and the points earned for climbing over an obstacle.

According to the information provided:
- The total points won in the round (a) is 344.
- The points earned for each ball shot through the hoop (b) is 12.
- The points earned for climbing over the obstacle (c) is 80.

Using these values, we can write the equation in the form [tex]\( a = bx + c \)[/tex]. Here, [tex]\( x \)[/tex] represents the number of balls the robot shot through the hoop.

Substituting the given values into the equation, we get:
[tex]\[ 344 = 12x + 80 \][/tex]

Thus, the completed equation is:
[tex]\[ a = bx + c \][/tex]
[tex]\[ 344 = 12x + 80 \][/tex]