A small publishing company is planning to publish a new book. The production cost will include one-time fixed cost such as editing and variable costs (such as printing) There are two production method it could use. With one method, the one time fixed cost will total $57,641, and a variable cost will be $10 per book. With the other method, the one time fixed cost will total $16,682 and a variable cost will be $19.25 per book. For how many books produces will the costs from the two methods be the same?

4,428 books

Step-by-step explanation:

make the equation 57,641+10x=16,682+19.25x

(you’re using that equation because the numbers have to be equal at the end. also “x” is the variable) after that subtract 16,682 from both sides that should give you (40,959+10x= 19.25x) after that subtract 10x from both sides, that should give you (40,959 = 9.25x) Lastly divide both sides by 9.25 and you should get x=4,428.

y = 5x + 17

step-by-step explanation:

a perpendicular line will be the opposite reciprocal slope of the given equation.   the slope given is -1/5 so the opposite reciprocal is 5

find b:

7 = 5 (-2) + b

7 = -10 + b

17 = b

write equation

y = 5x + 17