Halberd
Answered

Find the best solutions to your questions at Westonci.ca, the premier Q&A platform with a community of knowledgeable experts. Our platform provides a seamless experience for finding precise answers from a network of experienced professionals. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

In a football game, Kingston can make a touchdown worth 6 points or a field goal worth 3 points. Kingston scored a total of 15 points. Let x represent the number of touchdowns and y represent the number of field goals. Which equation can be used to model the situation?

Group of answer choices

6x + 3y = 15

3x + 6y = 15

15x − 3y = 6

x + y = 15

Sagot :

Answer: Choice A

6x+3y = 15

========================================================

Work Shown:

x = number of touchdowns

y = number of field goals

6x = points only from the touchdowns (ignore the fieldgoals for now)

3y = points only from the field goals (ignore the touchdowns for now)

6x+3y = total number of points from both categories combined

6x+3y = 15 since Kingston scored 15 points overall

-------------------------

Extra info (optional section)

We don't have enough info to fully nail down what x and y are in terms of numbers, but let's say he scored y = 1 field goal.

Then x would be,

6x+3y = 15

6x+3(1) = 15

6x+3 = 15

6x = 15-3

6x = 12

x = 12/6

x = 2

This tells us that Kingston scored 2 touchdowns if he scored 1 field goal.

2 touchdowns + 1 field goal = 2*6 + 1*3 = 12 + 3 = 15 points total

The ordered pair (x,y) = (2,1) is one solution to that equation.

Another solution is (x,y) = (1,3) following similar steps as shown above.

The third solution is (x,y) = (0,5). Each time x goes down by 1, y goes up by 2 and vice versa.

We only have 3 solutions in this case because x & y are nonnegative whole numbers. If x and/or y were allowed to be any real number, then we'd have infinitely many solutions.

Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.