Help Me! ASAP! I will mark the brainliest! Audra plays the piano and wanta to play more songs. She decides to learn the same number of new songs every month. She makes a graph to show the number of songs she learns. Which Stateement is true? A. The slope is 1/2.
B. The slope is 5.
C. The point (20, 45) is on the line.
D. The y-intercept represents the number of months Audra has been playing piano.

C. The point (20, 45) is on the line.

Step-by-step explanation:

The number of songs learned by Audra vs the number of months is plotted in the graph provided.

Some points are recognized from the graph: (0,5) (1,7) (2,9) among others. With two of these points, we construct the linear model of the graph.

The equation of a line passing through points (x1,y1) and (x2,y2) can be found as follows:

Using (0,5) and (1,7):

y - 5 = 2x

y = 2x + 5

The slope of the line is 2. So, A. and B are discarded.

The y-intercept represents the number of songs Audra played initially at time = 0.

The point (20,45) is on the line as we'll prove below:

y = 2(20) + 5 = 40 + 5 = 45

When x=20, y=45

Thus, the correct choice is:

C. The point (20, 45) is on the line.

step-by-step explanation:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

step-by-step explanation:

given that megan owns a clothing boutique.

the profits of 2010, 11, are recorded and shown as follows:

years since     2010 0     1     2     3       4       5

profits made in 1000's   39       84     111     120   111     84

we find that profit gradually increases form 2010 to 2013 upto 120,   then starts decreasing.

the profits for 2012 and 2014 are the same while that of 2011 and 2015 are also the same.

this shows that there is symmetry about the line profit = 120000

hence answer is:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

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