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ladessa [460]
3 years ago
7

The SneakerRama Company makes and sells sneakers. They have one linear function that represents the cost of producing sneakers a

nd another linear function that models how much income they get from those sneakers. Describe the key features that would determine if these linear functions ever intercepted.
Mathematics
2 answers:
Tatiana [17]3 years ago
8 0

Answer:

If the slope are not same then the linear function will intercept at some point.

Step-by-step explanation:

We are given that:

The SneakerRama Company makes and sells sneakers.

They have one linear function that represents the cost of producing sneakers and another linear function that models how much income they get from those sneakers.

We have to find what key features that would determine if these linear functions ever intercepted.

<em>If the slopes are not the same then the linear functions will intercept at some point.</em>


 y_c =m_{c}x+b_c   cost function


y_i=m_{i}x +b_i     income function


 m_c\neq m_i

 There will be a point where a certain value of x,  the number shoes sold, the cost of making the  sneakers will be the same as the income from  selling them.

Profit = y_i-y_c

At that point the profit will be zero.


SVETLANKA909090 [29]3 years ago
5 0
The two slopes are the key features. If the slopes are different, the two linear function will intercept.
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a store is having a sale on chocolate chips and walnuts. for 3 pounds of chocolate chips and 5 pounds of walnuts the total cost
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If you set you the equations such as 3c+5w=23 and 6c+2w=20 and then solve the first equation for c, you get c= (23-5w)/3 Taking that equation and substituting it for 'c' in the second equation (so the second equation becomes: 6((23-5w)/3)+2w=20  ) you get w=3.25 If you plug that back into your first equation (so it now becomes: 3c+5(3.25)=23 ) you get c=2.25 So the answer would be walnuts cost $3.25 per lb and choc. chips cost $2.25 per lb. 
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Someone help please❤️ &amp; Thankyou!!
S_A_V [24]

Answers:

  • 300 = 12i+36s
  • i = 10
  • Yes it's reasonable
  • i = -11

Refer to the diagram below.

The explanation for each part is below as well.

========================================================

Part 1

i = number of individual nail polish bottles

s = number of sets of 4

12i = money earned from just selling the individual bottles only

36s = money earned from just selling the sets of 4 only

12i+36s = total money earned = 300

12i+36s = 300 is the equation to set up

This is the same as 300 = 12i+36s  because A = B is the same as B = A.

========================================================

Part 2

Plug in s = 5 to represent she sold 5 sets. Let's solve for i

12i+36s = 300

12i+36(5) = 300

12i+180 = 300

12i = 300-180

12i = 120

i = 120/12

i = 10

If she wants to sell $300 worth of product overall, and she already sold 5 sets so far, then she needs to sell 10 individual bottles to reach this monthly goal.

========================================================

Part 3

Yes it's reasonable to reach this goal. This is because the value of i (from part 2) was some positive whole number.

========================================================

Part 4

We'll repeat part 2 but with s = 12

12i+36s = 300

12i+36(12) = 300

12i+432 = 300

12i = 300-432

12i = -132

i = -132/12

i = -11

As the instructions state, we get a negative value. This is not reasonable because we can't sell a negative number of items. A negative number of items in general doesn't make sense.

The instructions further state that $432 was already made and that she exceeded her goal. Meaning that she doesn't have to worry about selling the individual bottles if selling the sets has her reach something over $300.

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Step-by-step explanation:

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