1. A local bakery has a daily operating cost of $1800 plus a cost of $10 per cake they make. If a cake sells for $15, which equation could be used to determine the minimum number of cakes, c, they must sell each day to earn a profit? 20 points
A 15c 1800 + 10c
C 10c 1800 + 15c

C.) 10c 1800+15c

Step-by-step explanation:

The cost of daily operation for the business is $1,800/day, and $10/cake made. To put this into an equation, put the expenses on one side and what you're trying to make a profit off of on the other. Then solve for c.  

Given inequalities are 21 < 7 -x and x < 14

Now we have to decide whether the two inequalities are equivalent or not.

To find that first we need to simplify the given inequaity

21 < 7 -x

subtract 7 from both sides

21-7 < 7-x-7

14<-x

multiply both side by -1

-14 > x (because multiplying or dividing some negative number flips the type of inequality)

or we can write x<-14

We can clearly see that x < -14 and x<14 are not same.

Hence choice D is correct.