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larisa86 [58]
3 years ago
5

Please explain how to do it

Mathematics
1 answer:
Juli2301 [7.4K]3 years ago
4 0

Answer:

k = 4

Step-by-step explanation:

if direct variation exists,

input * k = output

here, number of baskets = input and cost = output

3 * k = 12

5 * k = 20

6 * k = 24

8 * k = 32

15 * k = 60

does this always work for one k?

let's try it out

3 * k = 12

divide both sides by 3 to solve for k

k = 4

5 * k = 20

divide both sides by 5 to solve for k

k = 4

6 * k = 24

divide both sides by 6 to solve for k

k = 4

8 * k = 32

divide both sides by 8 to solve for k

k = 4

15 * k = 60

divide both sides by 15 to solve for k

k = 4

as k = 4 no matter what, there is a direct variation with k = 4

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\sf{\red{ANSWER \: \: :}}

x = 18 1/3

\sf{\purple{EXPLANATION \: \: :}}

x - 20 + 2x = 35

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3x = 35 + 20

3x = 55

x = 55/3

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