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gladu [14]
2 years ago
14

Determine whether the graph of the equation is increasing or decreasing. Write the correct answer before the number. Show your s

olutions.
5y = x - 2​​
Mathematics
1 answer:
KATRIN_1 [288]2 years ago
5 0

Answer:

Increasing

Step-by-step explanation:

We are given the function:

\displaystyle \large{5y = x - 2}

Since y is the function of x; we isolate y by dividing both sides by 5.

\displaystyle \large{ \frac{5y}{5}  =  \frac{x - 2}{5} }

Thus:

\displaystyle \large{ y =  \frac{x - 2}{5} }

Simplify the expression, separating the fraction.

\displaystyle \large{ y =   \frac{x}{5}   -  \frac{2}{5} }

Familiar with this equation? This function is a linear function.

Now to the increasing and decreasing part. There are several ways to find whether if the graph is increasing.

  1. By substituting values
  2. Graph Visualization (Or look at the graph)

I will demonstrate the first method. Start from substituting negative to positive, if we keep substituting higher numbers and we get higher y-value then the graph is increasing.

If we substitute higher numbers but we get lower y-value then the graph is decreasing.

<u>S</u><u>u</u><u>b</u><u>s</u><u>t</u><u>i</u><u>t</u><u>u</u><u>t</u><u>i</u><u>o</u><u>n</u>

y = -1/5 - 2/5 = -3/5

y = 0-2/5 = -2/5

y = 1/5-2/5 = -1/5

y = 2/5-2/5 = 0

y = 3/5-2/5 = 1/5

y = 4/5-2/5 = 2/5

y = 5/5-2/5 = 3/5

y = 6/5-2/5 = 4/5

...

As so on, as we see, when x keeps increasing, y increases too.

Therefore, the graph is increasing.

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FromTheMoon [43]

Answer:

<-|---------------|----------------|--------------|->

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Step-by-step explanation:

easy peasy

8 0
3 years ago
At 9:00, Paula has x cups of food in a container for her dog. Paula pours a 2 1/2 cup box of fodd into the container. Then she r
Anestetic [448]

Answer:

X = 21/4 - 7/4 = 14/4 = 7/2 = 3 and 1/2

Step-by-step explanation:

X + (2 and 1/2) - 3/4 = 5 and 1/4

X + 2 and 2/4  - 3/4 = 5 and 1/4  <--- common denominator

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3 0
3 years ago
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What is the original price if there is a 45% discount and the sale price is $550?
Svetradugi [14.3K]

Original price×(1-discount price)=new price or sale price so

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So the original price is 1000

3 0
2 years ago
Andrea was asked to find the value of –32 × 9 × 5/4 . How can Andrea make this problem easier to compute?
Volgvan

Answer:

divide the 32 by 4:

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8 0
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3,352 is the answear.
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