Ten sixth-grade students in five different countries—United States, Australia, South Africa, Canada, and New Zealand—were asked
1 answer:
You might be interested in
You can create two equations.
"<span>A car travels 20 mph slower in a bad rain storm than in sunny weather."
</span>
Where 'x' represents speed in sunny weather and 'y' represents speed in rainy weather.
"<span>The car travels the same distance in 2 hrs in sunny weather as it does in 3 hrs in rainy weather."
</span>Where 'x' represents speed in sunny weather and 'y' represents speed in rainy weather.
We want to find the speed of the car in sunny weather, or 'x'. Plug in the value for 'y' in the first equation into the second equation.
Distribute:
Subtract 3x to both sides:
Divide -1 to both sides:
So the car goes 60 mph in sunny weather.
"<span>A car travels 20 mph slower in a bad rain storm than in sunny weather."
</span>
Where 'x' represents speed in sunny weather and 'y' represents speed in rainy weather.
"<span>The car travels the same distance in 2 hrs in sunny weather as it does in 3 hrs in rainy weather."
</span>Where 'x' represents speed in sunny weather and 'y' represents speed in rainy weather.
We want to find the speed of the car in sunny weather, or 'x'. Plug in the value for 'y' in the first equation into the second equation.
Distribute:
Subtract 3x to both sides:
Divide -1 to both sides:
So the car goes 60 mph in sunny weather.
Height of the water increasing is at rate of
With related rates, we need a function to relate the 2 variables, in this case it is clearly volume and height. The formula is:
There is radius in the formula, but in this problem, radius is constant so it is not a variable. We can substitute the value in:
Since the rate in this problem is time related, we need to implicitly differentiate wrt (with respect to) time:
In the problem, we are given
So we need to substitute this in:
Hence, Height of the water increasing is at rate of
To Learn more visit:
#SPJ4