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Rasek [7]
3 years ago
7

Write an equation to describe the proportional relationship in this table. Explain your thinking and how you got your answer.

Mathematics
1 answer:
creativ13 [48]3 years ago
7 0

Focus on the values in red outside the table (on the left and right sides). As the output increases by 4, the input increases by 1. This leads to the slope being rise/run = 4/1 = 4. The slope is the number just to the left of the x variable. So that's how they ended up with the equation y = 4x.

You can think of it as y = 4x+0, and note how it's in the form y = mx+b

m = 4 = slope

b = 0 = y intercept

The y intercept is the value of y when x = 0.

--------

Now because x = 0 and y = 0 pair up together, we can find the slope a different way: Pick any row other than the first row. Divide the y value over its paired x value. So let's say we pick on row two and we'd get a slope of y/x = 4/1 = 4.

Or we could pick on row three and get y/x = 8/2 = 4.

Picking on the fourth row gets us the slope to be y/x = 12/3 = 4. We end up with the same slope value each time. Again, this trick only works if (x,y) = (0,0) is on the line. Otherwise, you'll need to use the first method or use the slope formula.

For equations like this, we consider them a direct proportion. As x increases, so does y. As x increases by 1, y increases by 4. This is the same throughout the table.

----------

A real world example of this could be that x represents the number of sodas you buy, and if each soda is $4, then y = 4x represents the total cost of buying x number of sodas.

For instance, if you bought x = 10 sodas, then y = 4*x = 4*10 = 40 dollars is what you spend overall.

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1. {26, 69, 30, 27, 19, 54, 27}<br><br> Mean: <br> , Median: <br> , Mode: <br> , Range:
den301095 [7]

Answer:

Mean:36

Median:27

Mode:27

Range:50

Step-by-step explanation:

Mean: 19+26+27+27+30+53+69/7=36

Median: The middle number in the sequence when arranged in ascending order which is 27

Mode: The number that appeared more than others which is 27

Range: This is the difference between the largest number and the lowest number in the sequence which is 50.

IF THIS HELPS PLEASE MARK ME AS BRAINLIEST

5 0
2 years ago
An angle whose measure is degree134° is bisected. What is the measure of each of the two new angles?
Olenka [21]

Answer:

Each angle is 67 degrees

Step-by-step explanation:

Bisected angles are divided in half

134/2 =67

Each angle is 67 degrees

4 0
3 years ago
6 qts equals ? pints 8 qts equals ? gallons and 48 fl oz equals ? cups
nikdorinn [45]
6 quarts equals 12 pints
8 quarts equals 2 gallons
48 fl oz equals 6 cups
8 0
3 years ago
Read 2 more answers
On the graph shown, what is f(-1)? (5 points) The first segment joints the point negative three comma five exclusively and negat
tatiyna
ANSWER

f( - 1) = 2

EXPLANATION

The given function is a piecewise defined function.

f( - 1)
is the y-value that corresponds to
x = - 1.

To determine that y-value, we need to trace from
x = - 1
to where it meets the graph.

We then trace to the y-axis to determine the corresponding y-value as shown in the diagram.

From the graph, we can see that this x-value corresponds to a y-value of
2

This implies that, when
x = - 1,y = 2

Therefore
f( - 1) = 2
See graph.

8 0
3 years ago
Jared bought a Suzuki 1000 for $12,698. If it depreciates at a rate of 11% per year, how much will it be worth in 3 years
Serga [27]
Original price = P = $12,698
Depreciation rate = r = 11% = 0.11
Time in years = t = 3
New price = A

The formula used will be:

A=P(1-r)^{t}

Using the values, we get:

A=12698(1-0.11)^{3}=8951.70

Thus, the worth of Suzuki after 3 years will be $8951.70
7 0
3 years ago
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