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VLD [36.1K]
2 years ago
9

Is the equation y/x=8 direct variation, inverse variation, or neither? Explain

Mathematics
1 answer:
LuckyWell [14K]2 years ago
5 0

Answer:

It's a direct variation, as the ratio between x and y is constant

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A biologist has been observing a tree's height. This type of tree typically grows by 0.22 feet each month. Fifteen months into t
Lyrx [107]

Data:

x: number of months

y: tree's height

Tipical grow: 0.22

Fifteen months into the observation, the tree was 20.5 feet tall: x=15 y=20.5ft (15,20.5)

In this case the slope (m) or rate of change is the tipical grow.

m=0.22

To find the line's slope-intercep equation you use the slope (m) and the given values of x and y (15 , 20.5) in the next formula to find the y-intercept (b):

\begin{gathered} y=mx+b \\ 20.5=0.22(15)+b \\ 20.5=3.3+b \\ 20.5-3.3=b \\ 17.2=b \end{gathered}

Use the slope(m) and y-intercept (b) to write the equation:

\begin{gathered} y=mx+b \\  \\ y=0.22x+17.2 \end{gathered}A) This line's slope-intercept equation is: y=0.22x+17.2

B) To find the height of the tree after 29 months you substitute in the equation the x for 29 and evaluate to find the y:

\begin{gathered} y=0.22(29)+17.2 \\ y=6.38+17.2 \\  \\ y=23.58 \end{gathered}Then, after 29 months the tree would be 23.58 feet in height

C) In this case as you have the height and need to find the number of moths you substitute the y for 29.96feet and solve the equation for x, as follow:

\begin{gathered} 29.96=0.22x+17.2 \\ 29.96-17.2=0.22x \\ 12.76=0.22x \\ \frac{12.76}{0.22}=x \\  \\ 58=x \end{gathered}Then, after 58 months the tree would be 29.96feet tall
3 0
1 year ago
Evaluate the expression 21 ÷ 3 + 8 − 4.<br><br> A) 19<br><br> B) 17<br><br> C) 15<br><br> D) 11
nirvana33 [79]

Answer:

D

Step-by-step explanation:

We will use the order of operations to evaluate the expression.

From left to right , Multiplication/Division followed by Addition/Subtraction.

21 / 3 + 8 - 4

= 7 + 8 - 4

= 15 - 4

= 11

Therefore, the answer is D

5 0
1 year ago
Read 2 more answers
The new playground equipment for the park was delivered in the box shown.
Maurinko [17]
5*4*12=240

Hope it helps :D
3 0
3 years ago
What is the simplest form of 34/42
vfiekz [6]
17/21 you just have to find the highest common factor, which in this case, is two
7 0
3 years ago
Read 2 more answers
Triple my number add six and subtract my number twice I get my number plus three
liberstina [14]
Let the number be x.

Triple the number means 3x
add 6 means 3x + 6
subtract the number twice 3x + 6 - x - x
the result is the number plus 3 means that the result is x + 3

So, combining these into an equation, we get:
3x + 6 - x - x = x + 3

If we solve this equation for x, we will get:
x + 6 = x + 3
The x will cancel out and we will get : 6 = 3

Therefore, this is a false statement.
8 0
3 years ago
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