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DaniilM [7]
2 years ago
5

Does y=0.5x-2 represent a proportional relationship?

Mathematics
1 answer:
grandymaker [24]2 years ago
5 0
<h2>Answer::</h2>

An equation has a proportional relationship if it can be written in the form y=kx where k is the constant of proportionality.

a.y=0.5x−2a.y=0.5x−2 does not have a proportional relationship since it has the term −2 on the right side.

b.y=1,000xb.y=1,000x has a proportional relationship with a constant of proportionality of 1,000.

c.y=x+1c.y=x+1 does not have a proportional relationship since it has the term 1 on the right side.

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Make a conjecture about the next item in the sequence. 6, 9, 7, 10, 8?
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Answer:

"The next term should be 11"

Step-by-step explanation:

If we look closely at the sequence we can see:

second term is 3 more than previous

third term is 2 less than previous

fourth term is 3 more than previous

fifth term is 2 less than previous

We can see a pattern. To get next terms, we add 3, to get next to that, we subtract 2. It goes on like this.

Since 4th term to 5th term is "subtracting 2", logically 5th to 6th term (the term we are wanting) should be "add 3". So the term after 8 would be 11

The next term would be 11

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3 years ago
You collect a total of $75 in donations from three people. The three donations are in the ratio 4 to 4 to 7. How much is each of
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Each smaller donation was for $20 The largest donation was $15 greater than the smaller donation. First, determine the size of each donation. Since they are in a ratio of 4:4:7, it's easiest to add the ratios together (4+4+7) = 15. Then divide the total donation by that sum (75/15) = 5. Finally, multiply 5 by each of the ratios. 5 * 4 = 20, 5 * 4 = 20, and 5 * 7 = 35 So the 2 smaller donations were $20 each, and the largest donation was for $35. The largest donation was $35 - $20 = $15 larger than one of the smaller donations.
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