Continuing with the August 2017 Algebra 1 Regents.
A correct answer will receive 6 credits. For all questions in this part, a correct numerical answer with no work shown will receive only 1 credit.
37. Zeke and six of his friends are going to a baseball game. Their combined money totals $28.50.
At the game, hot dogs cost $1.25 each, hamburgers cost $2.50 each, and sodas cost $0.50 each.
Each person buys one soda. They spend all $28.50 on food and soda.
Graph your equation on the grid below.
Answer: There are 7 people. Each buys a soda, which are $0.50 each. .50 * 7 = $3.50.
The equation is 1.25x + 2.50y + 3.50 = 28.50 or 1.25x + 2.50y = 25.00
The number of $1.25 hot dogs that can be bought for $25.00 is 20. The number of $2.50 hamburgers that can be bought is 10.
Here is the graph:
End of Part IV
How did you do?
Reminder: I've been asked not to post the questions to newer exams for at least a week after it.
Here are the Part I questions, answers, and explanations.
Here are the Part II questions, answers, and explanations.
Here are the Part III questions, answers, and explanations.
August 2017, Algebra 1 (Common Core), Part IV
Write an equation that can determine the number of hot dogs, x, and hamburgers, y, Zeke and his friends can buy.
Determine how many different combinations, including those combinations containing zero,
of hot dogs and hamburgers Zeke and his friends can buy, spending all $28.50. Explain your
answer.
$28.50 - 3.50 = 25.00 to spend on hot dogs and hamburgers.
The price of a hot dog times the number of hot dogs plus the price of a hamburger times the number of hamburgers plus the price of the sodas equals $28.50. Note that the question states that all the money was spent and that you are looking for an equation, not an inequality.
There will be 11 possible combinations, which appear on the graph below. You don't need to list them, but they are:
(20, 0), (18, 1), (16, 2), (14, 3), (12, 4), (10, 5), (8, 6), (6, 7), (4, 8), (2, 9), (0, 10).
End of Exam
So I probably won't be able to write up the answers to today's tests until after February 1.
Thanks for stopping by my blog. Feel free to leave a comment.
How did you rewrite the equation in slope intercept form on the graph
ReplyDeleteSorry, I hadn't been checking comments for a while.
ReplyDeleteAnyway:
You start with 1.25x + 2.50y + 3.50 = 28.50
which gives you 1.25x + 2.50y = 25.00 you subtract 3.50 from both sides
then subtract 1.25x, which gives you 2.50y = -1.25x + 25.00
Divide everything by 2.50, and you get y = -.5x + 10