Xavier spent $84 on art supplies. the canvas for each of his paintings is an additional $1. he plans to sell his paintings for $8.
a. write an equation that can be used to find the number of paintings (p) he will need to sell to break even.
b. solve the equation from part a. check the solution.

Part a) The equation is

Part b)  

Step-by-step explanation:

Let

p -----> the number of paintings

we know that

Break even is when sales are equal to cost.

The linear equation that represent this problem is

Solve for p

Subtract p both sides

Divide by 7 both sides

Rewrite

Check the solution

substitute the value of p

----> is ok

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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