The amount of gasoline used by a car varies jointly as the distance traveled and the square root of speed.
Answer:
Answer:
38 \frac{2}{5}3852 liters
Step-by-step explanation:
A variation is a relationship between two variables that share a ratio. This ratio is called “coefficient of variation”. It shows how one variable varies as the other.
Some variables are directly related. Direct variation means as one value increase, the other also increases at a rate equal to the coefficient of variation. If 2 variables, x and y are directly related, then their relationship can be stated as
y = kxy=kx
k is the coefficient of variation.
Some variables are inversely related. Inverse variation means as one value increase, the other variable decreases at a rate equal to the coefficient of variation. If 2 variables, x and y, are inversely related, their relationship can be stated as
y =\frac{k}{x}y=xk
There are times when more than 2 variables are related. This is called a joint variation. A joint variation can have direct or indirect variations.
Variations are often solved by getting the value of k.
Let’s go back to the problem. Let us assign variables to each quantities.
Let g be the amount of gasoline.
Let d be the distance traveled of the car.
Let s be the speed of the car.
Their relationship can be stated by the variation:
g = k*d*\sqrt{s}g=k∗d∗s
We are given that the car used 25 liters for 100 km. on a 100 km/hr speed. Those are values for the variables we have. We can substitute it to the variation and solve for k.
\begin{gathered}g = k*d\sqrt{s}\\g = 25\\d =100\\s = 100\\25 = k*(100)*\sqrt{100}\\25 = k*(100)*(10)\\25=k*1000\\k = \frac{25}{1000} \\k = \frac{1}{40}\end{gathered}g=k∗dsg=25d=100s=10025=k∗(100)∗10025=k∗(100)∗(10)25=k∗1000k=100025k=401
Our constant of variation is \frac{1}{40}401 .
This means we can solve for the variation if we are missing one of variables.
The problem is asking how many liters of gasoline are needed for a 192km trip at a speed of 64 km/hr.
We are given two values (speed and distance), and we have the constant of variation from earlier.
\begin{gathered}g = k*d*\sqrt{s} \\k = \frac{1}{40}\\d= 192\\s = 64\\\end{gathered}g=k∗d∗sk=401d=192s=64
\begin{gathered}g = \frac{1}{40}*(192)(\sqrt{64}\\\\g = \frac{1}{40} (192)(8)\\\\g = \frac{192}{5}\\\\g = 38 \frac{2}{5}\end{gathered}g=401∗(192)(64g=401(192)(8)g=5192g=3852
We need 38\frac{2}{5}3852 liters of gasoline for the trip.
For more information about variations, click here
https://brainly.ph/question/1048644
https://brainly.ph/question/841068
https://brainly.ph/question/852544
gasoline accompanying
Solved the price drivers pay for gasoline often varies a. Gasoline transition novel. Solved when the price of cars declines significantly, the
Solved has gasoline purchased amount per car transcribed problem text been show. Solved 9.3 gasoline consumption: to study the factors that. Solved cars and gasoline are complements. what will happen
Solved 16. when the price of gasoline gets high consumers. Solved gasoline solve transcribed. Solved check my work (2 remaining) the price drivers pay for
Solved gasoline solve transcribed. Should we ban gasoline cars?. W varies jointly as x and y and inversely as the square of z. if w
Solved check my work (2 remaining) the price drivers pay for. Helppp pleasee l the gasoline mileage for two cars can be compared by. How long is 27 miles in a car? new
How long is 27 miles in a car? new. Solved the price drivers pay for gasoline often varies a. Solved if the price of gasoline increases significantly,
travelled
Solved the accompanying graph shows the total amount of. When the price of gasoline gets high, consumers. 3. jaime's income varies directly as the number of days…
gasoline varies often regions brands eleven midwest datafile gallon shell sample
Solved 2) a company with a large fleet of cars wants to. Gasoline-equivalent fuel consumption for conventional midsize cars. Solved solve the following: 1. the amount of gasoline used
solved significantly increases gasoline price answer problem been has
Gasoline varies often regions brands eleven midwest datafile gallon shell sample. Fact #928: june 6, 2016 price difference between regular and premium. Varies jointly inversely
Solved 2) a company with a large fleet of cars wants to. Solved: 12. the amount of gasoline used by a car varies join[algebra. 3. jaime's income varies directly as the number of days…
How long is 27 miles in a car? new. Gasoline transition novel. 3. jaime's income varies directly as the number of days…
gasoline distance gallons traveled
Solved gasoline solve transcribed. Solved the price drivers pay for gasoline often varies a. Gasoline transition novel
Gasoline varies often regions brands eleven midwest datafile gallon shell sample. Answered: a. estimate the average gasoline…. The amount of gasoline used by a car varies jointly as the distance
solved has gasoline purchased amount per car transcribed problem text been show
Solved a. an average car consumes about 5l of gasoline a. Solved the price drivers pay for gasoline often varies a. Solved gasoline solve transcribed
Gasoline energy dataset. Why we need to build bad gasoline cars if we want to get rid of them. 3. jaime's income varies directly as the number of days…
When the price of gasoline gets high, consumers. Helppp pleasee l the gasoline mileage for two cars can be compared by. Consumers gasoline mileage concerned obtained chegg transcribed
consumers gasoline mileage concerned obtained chegg transcribed
Solved the accompanying graph shows the total amount of. Solved check my work (2 remaining) the price drivers pay for. Solved 9.3 gasoline consumption: to study the factors that
