Answer:
Step-by-step explanation: The game awards 2.5 points for 10 minutes of play.
Solving the proportion problem in details
Part A:
Let's use the given information to find the constant of proportionality. For every 2 minutes of play, the game awards one-half point. Therefore,
1 min of play = 0.5/2 = 0.25 points
6 min of play = 0.25 × 6 = 1.5 points
The constant of proportionality is 0.25
Part B:
We can use the formula for a proportional relationship,
y = kx
where
y = number of points awarded,
x= amount of time played (in minutes), and
k = constant of proportionality.
Substituting k = 0.25, we get:y=0.25x
Part C:
To graph this relationship, let x be the independent variable (amount of time played) and y be the dependent variable (number of points awarded). Then, we can choose several values for x, compute the corresponding values of y using the equation above, and plot the ordered pairs (x, Y).
Part D: To find the number of points awarded for 10 minutes of play, we can
simply substitute x = 10 into the equation we found in Part B:
y = 0.25x = 0.25(10) = 2.5
Therefore, 2.5 points are awarded for 10 minutes of play
Hope this helps! <3