Question

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 a = bx + c that can be used to find the number of balls, x, their robot shot through the hoop. Fill in a, b, and c to complete the equation for this situation.

Answer 1

344=12x+80
A=344
B=12
C=80

Answer 2

`a=344\\b=12\\c=80`

Explanation:

Let x be number of balls shot through the hoop by Central City High School's robot.

We have been given an equation
`a=bx+c` and we are asked to find the values of a, b and c.

We are told that Central City High School's team earned an additional 12 points for each ball the robot shot through a hoop. So the points earned by shooting x balls through the hoop will be 12x.

The team also earned 80 points for their robot climbing over an obstacle. So total number of points earned by team will be equal to
`12x+80`.

We are also told that the team won the round with 344 total points. We can represent this information in an equation as:

`344=12x+80`

Upon comparing this equation with our given equation we will get,

`a=344\\b=12\\c=80`

Therefore, the equation
`344=12x+80` can be used to find the number of balls, x, team's robot shot through the hoop.