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2 years ago

15

Caroline owns a shoe boutique. Her shop’s fixed costs for one week are $350, and the variable costs are $7 per shoe. Write the a

verage cost per shoe, C, as a function of the number of shoes sold in one week, s.

2 answers:

iren [92.7K]2 years ago

7 0

C(s) = 350 + 7s.

The fixed costs, 350, are added to the variable costs per shoe; $7 per shoe is written as 7s.

My name is Ann [436]2 years ago

7 0

Given that fixed cost for one week = $350

Given that variable cost for one 1 shoe = $7

We have to use letter "s" for number of shoes.

Then cost of "s" shoes will be product of number of shoes and the cost of 1 shoes which is given by "7s"

fixed cost also adds to the actual cost so the total cost is = 7s+350

Now we have to find the average cost per shoe.

To find the average, we just need to divide the total cost by the number of shoes sold

Hence final answer will be:

Average cost per shoe $C=\frac{7s+350}{s}$

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The sum of the digits of a 2-digit number is 10. If 18 is added to the number, the digits of the new number are those of the ori

Aliun [14]

Answer:

46

Step-by-step explanation:

Let $(ab)$ represent a number with $a$ in the ten's position and $b$ is the one's position.

This means $(ab)$ actually has value of $10a+b$ .

We are given the sum of those digits of $(ab)$ is 10; this means $a+b=10$ .

It says if 18 is added to the number $(ab)$ , then the result is $(ba)$ .

So $(ab)$ has value $10a+b$ and

$(ba)$ has value $10b+a$ .

We are given then:

$(ab)+18=(ba)$

$10a+b+18=10b+a$

Subtract $10a$ on both sides:

$b+18=10b+a-10a$

Simplify:

$b+18=10b-9a$

Subtract $b$ on both sides:

$18=10b-b-9a$

$18=9b-9a$

Divide both sides by 9:

$2=b-a$

Rearrange by commutative property:

$2=-a+b$

So the system of equations we want to solve is:

$a+b=10$

$-a+b=2$

-------------------------Add equations together (this will eliminate the variable $a$ and allow you to go ahead and solve for $b$ :

$0+2b=12$

$2b=12$

Divide both sides by 2:

$b=\frac{12}{2}$

Simplify:

$b=6$

If $b=6$ and $a+b=10$ , then $a=4$ . $a=4$ since 4+6=10.

So the original number is (46).

18 more than 46 is 18+46=(64) which is what we wanted.

We also have the sum of 4 and 6 is 10 as well.

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