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In a football game, Kingston can make a safety worth 2 points or a field goal worth 3 points. Kingston scored a total of 16 points. Let x represent the number of safeties and y represent the number of field goals. Which equation can be used to model the situation?
a. x + y = 16
b. 2x + 3y = 16
c. 3x + 2y = 16
d. 16x − 3y = 2

Sagot :

Answer: A

Step-by-step explanation:

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The linear equation representing the model for the points collected by Kingston in x number of safeties and y number of field goals is 2x + 3y = 16. Hence, option B is the right choice.

What are linear equations?

Linear equations are relations between two linear expressions consisting of variables, constants, and mathematical operations (addition, subtraction, multiplication, and division).

How do we solve the given question?

In the question, we are given that in a football game, Kingston can make a safety worth 2 points or a field goal worth 3 points. Kingston scored a total of 16 points.

We are asked to express an equation to satisfy the model with x and y representing the number of safeties and field goals respectively.

Point for 1 safety = 2.

∴ Points for x number of safeties = 2x

Point for 1 field goal = 3

∴ Points for y number field goals = 3y

Points for safeties + Points for field goals = Total points

or, 2x + 3y = 16.

∴ The linear equation representing the model for the points collected by Kingston in x number of safeties and y number of field goals is 2x + 3y = 16. Hence, option B is the right choice.

Learn more about linear equations at

https://brainly.com/question/1884491

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