Answer:
y = 18
Step-by-step explanation:
Direct variation means y will change by the same factor x does. When x changes by a factor of 15/10 = 1.5, the value of y will change by that same factor
x = 10, y = 12
x= 15, y = 1.5×12 = 18
The new value of y is y = 18.
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Written as a proportion, you have ...
y/15 = 12/10
y = 15×12/10 = 18
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Written as a direct variation equation, you have ...
y = kx
12 = k·10 ⇒ k = 1.2
y = 1.2·15 = 18 . . . . for x=15
<h3>
Answer: 5 cakes</h3>
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Explanation:
Let's start off converting the mixed number 12 & 1/4 to an improper fraction.

Do the same for the other mixed number 2 & 1/3.

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From here, we divide the two fractions. I converted them to improper fractions to make the division process easier.

The last step is to convert that result to a mixed number.

Note that 21/4 = 5.25 and 1/4 = 0.25 to help check the answer.
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Therefore, she can make 5 cakes. The fractional portion 1/4 is ignored since we're only considering whole cakes rather than partial ones.
Answer:
y=2/3x - 3
Step-by-step explanation:
In order to move an equation down, you just subtract how many units you want to move down on the graph. In this case, you want to move 3 units down, so that's why you subtract by 3. Easy as that!
Step-by-step explanation:
in the attachment
hope it helps