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Nadusha1986 [10]
2 years ago
7

Rhonda took $20 with her to spend on popcorn and candy for herself and her friends at the movie theater. The price for each bag

of popcorn was $5. The price of each box of candy was half the price of a bag of popcorn.
Use one axis to represent the number of bags of popcorn and the other axis to represent the number of boxes of candy. Create an equation and sketch the graph that represents the number of each item she can purchase. Be sure to clearly label the intercepts.
In words, explain your graph and what the intercepts mean in context of the situation.

Mathematics
1 answer:
MrRa [10]2 years ago
5 0

The linear equation that represents the scenario is 5x + 2.5y = 20

<h3>How to determine the equation?</h3>

The given parameters are:

  • Popcorn = $5 per bag
  • Candy = $2.5 per bag i.e. half the price of pop corn

Let x represents popcorn and y represents candy.

So, we have:

5x + 2.5y = 20

The intercepts in this case are the maximum number of candy and popcorn Rhonda can buy

See attachment for the graph

Read more about linear functions at:

brainly.com/question/4025726

#SPJ1

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Answer:

1/6

Step-by-step explanation:

For a set of vectors a, b and c to be linearly dependent, the linear combination of the set of vectors must be zero.

C1a + C2b + C3c = 0

From the question, we are given the set S={u−3v,v−2w,w−ku}, the corresponding vectors are a(0, -3, 1), b(-2,1,0) and c(1,0,-k)

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On writing this vector as a linear combination, we will have;

C1(0, -3, 1) + C2(-2,1,0) + C3(1,0,-k) = (0,0,0)

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C1-kC3 = 0 ….......... 3

From equation 2, 3C1 = C2

Substituting into 1, -2(3C1)+C3 = 0

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Substitute 4 into 3 to have

C1-k(6C1) = 0

C1 = k6C1

6k = 1

k = 1/6

Hence the value of k for the set of vectors to be linearly dependent is 1/6

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