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klasskru [66]
3 years ago
15

How do you graph a direct variation

Mathematics
2 answers:
just olya [345]3 years ago
7 0

When two variables are related in such a way that the ratio of their values always remains the same, the two variables are said to be in direct variation.

In simpler terms, that means if A is always twice as much as B, then they directly vary. If a gallon of milk costs $3, and I buy 1 gallon, the total cost is $3. If I buy 10 gallons, the price is $30. In this example the total cost of milk and the number of gallons purchased are subject to direct variation -- the ratio of the cost to the number of gallons is always 3.


To be more "geometrical" about it, if y varies directly as x, then the graph of all points that describe this relationship is a line going through the origin (0, 0) whose slope is called the constant of variation. That's because each of the variables is a constant multiple of the other, like in the graph shown below:

Artyom0805 [142]3 years ago
3 0
I confirm with the answer that k is the slope of the graph<span>. If the variables x and y vary directly when x = 3 and y = 15, then: a. Write an equation that relates x and y.</span>
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Step-by-step explanation:

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6 0
2 years ago
A rectangular gasoline tank can hold 45.0 kg of gasoline when full. what is the depth of the tank if it is 0.450 m wide by 0.900
garri49 [273]
The answer is 0.154 m

Step 1. Calculate the volume of gasoline tank (V) using the known mass (m) and density of gasoline (D).
D = m/V
⇒   V = m/D
D = 719.7 kg/m³
m = 45.0 kg
V = 45.0 kg/719.7 kg/m³ = 0.0625 m³

Step 2. Calculate the depth of the tank (d) using the known volume (V) of gasoline and width (w) and length (l) of the tank:
V = d * w * l
0.0625 = d * 0.900 * 0.450
0.0625 = d * 0.405
d = 0.0625  / 0.405
d = 0.154 m
7 0
3 years ago
the average temperature in Fairbanks Alaska in February is 4 degrees below zero write the temperature as an integer
dolphi86 [110]

Answer:

-4 > n

Step-by-step explanation:


8 0
2 years ago
2. What is the volume of the cone, rounded to the nearest cubic inch? (1 point) 72 in.³ 226 in.³ 905 in.³ 2,714 in.³
borishaifa [10]
We asked to solve the volume of the cone and we know that the formula for solving the volume is shown below:
V = 1/3*pi*r²*h where "r" for the radius and "h" for the height

We have the given values such as:
r= diameter/2 = 12/2
r= 6 inches
h=6 inches

Solving for the volume:
V= 1/3 *pi*6²*6
V=72pi in³

The answer is the letter  "A" 72pi inches³.
6 0
3 years ago
Read 2 more answers
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