13. 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 could be used to find the number of paintings (p) he will need to
sell to break even.

Hello mate!

We know that Xavier spent $84 on art supplies. For each painting, he spends $1 on the canvas and sells each paint for $8.

The proffit equation is:

Q(p) = ($8 -$1)p - $84 = $7p - $84

where p is the number of paintings that he sells.

If we want to obtain the number of paintings that he needs to sell in order to break even, we need to calculate:

Q(p) = 0 = $7p - $84

$7p = $84

p = 84/7 = 12

He needs to sell 12 paints to break even.

step-by-step explanation:

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.