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makkiz [27]
2 years ago
13

Teams with varying numbers of players are playing a group card game. The time taken by each team to complete one game is given i

n the table. What is the relationship between the two variables? Number of Players on the Team Time Taken to Complete Game (in minutes) 1 32 2 26 3 20 4 14 5 8 A. positive linear association B. exponential relationship C. negative linear association D. no relationship
Mathematics
1 answer:
12345 [234]2 years ago
5 0

Answer:

  • C. negative linear association

Step-by-step explanation:

<u>We have ordered pairs:</u>

  • (1, 32), (2, 26), (3, 20), (4, 14), (5, 8)

<u>Looking at the sequence of y-values:</u>

  • 32, 26, 20, 14, 8

We see it is the arithmetic progression with common difference of -6.

It means the function representing this relationship is linear.

Correct option is C.

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Sedaia [141]
You can use the prefixes to figure this out:
Mono: one
Bi: two
Tri: three

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4 0
2 years ago
The nurse needs to mix 2% solution with 10% solution to get 10 ml of the prescribed 6% solution. What amount of each solution do
xenn [34]

<em>Volumes of 2% Solution = </em><em>5 ml</em>

<em>Volumes of 10% Solution = </em><em>5 ml</em>

\texttt{ }

<h3>Further explanation</h3>

Simultaneous Linear Equations could be solved by using several methods such as :

  • <em>Elimination Method</em>
  • <em>Substitution Method</em>
  • <em>Graph Method</em>

If we have two linear equations with 2 variables x and y , then we need to find the value of x and y that satisfying the two equations simultaneously.

Let us tackle the problem!

\texttt{ }

<em>Let:</em>

<em>Volumes of 2% Solution = x</em>

<em>Volumes of 10% Solution = y</em>

\texttt{ }

<em>Total Volume = 10 ml</em>

\boxed{x + y = 10} → <em>Equation 1</em>

\texttt{ }

<em>The nurse needs to mix 2% solution with 10% solution to get 10 ml of the prescribed 6% solution</em>.

2 \% x + 10 \% y = 6 \% (10)

2x + 10y = 6(10)

\boxed{x + 5y = 30} → <em>Equation 2</em>

\texttt{ }

<em>Equation 1 - Equation 2:</em>

( x + y ) - ( x + 5y ) = 10 - 30

-4y = -20

y = -20 \div -4

y = 5 \texttt{ ml}

\texttt{ }

x + y = 10

x + 5 = 10

x = 5 \texttt{ ml}

\texttt{ }

<h2>Conclusion:</h2>

<em>Volumes of 2% Solution = </em><em>5 ml</em>

<em>Volumes of 10% Solution = </em><em>5 ml</em>

\texttt{ }

<h3>Learn more</h3>
  • Perimeter of Rectangle : brainly.com/question/12826246
  • Elimination Method : brainly.com/question/11233927
  • Sum of The Ages : brainly.com/question/11240586

<h3>Answer details</h3>

Grade: High School

Subject: Mathematics

Chapter: Simultaneous Linear Equations

Keywords: Simultaneous , Elimination , Substitution , Method , Linear , Equations

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