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Example Questions
Example Question #1251 :Psat Mathematics
A school's tornado shelter has enough food to last 20 children for 6 days. If 24 children ended up taking shelter together, for how many fewer days will the food last?
8
6
2
4
1
1
Because the number of days goes down as the number of children goes up, this problem type is inverse variation. We can solve this problem by the following steps:
20*6=24*x
120=24x
x=120/24
x=5
In this equation, x represents the total number of days that can be weathered by 24 students. This is down from the 6 days that 20 students could take shelter together. So the difference is 1 day less.
Example Question #2 :How To Find Inverse Variation
varies inversely as the cube of.
Ifwhen, then evaluatewhen. (Nearest tenth)
Ifvaries inversely as the cube of, then, ifare the initial values of the variables andare the final values,
Substituteand find:
This rounds to 2.3.
Example Question #3 :How To Find Inverse Variation
varies inversely as the cube root of.
Ifwhen, then evaluatewhen. (Nearest tenth)
Ifvaries inversely as the cube root of, then, ifare the initial values of the variables andare the final values,
Substituteand find:
Example Question #4 :How To Find Inverse Variation
Find the inverse of
To find the inverse we first switch the x and y variables
Now we add 4 to each side
From here to isolate y we need to multiply each side by 2
By distributing the 2 we get our final solution:
Example Question #1 :How To Find Inverse Variation
varies inversely as the square of.
Ifwhen, then evaluatewhen. (Nearest tenth)
Ifvaries inversely as the square of, then, ifare the initial values of the variables andare the final values,
.
Substituteand find:
This rounds to 3.5.
Example Question #6 :How To Find Inverse Variation
varies inversely with the square root of.
Ifwhen, then evaluatewhen. (Nearest tenth)
Ifvaries inversely with the square root of, then, ifare the initial values of the variables andare the final values,
.
Substituteand find:
Example Question #7 :How To Find Inverse Variation
Find the inverse of.
To find the inverse of a function we need to first switch theand. Therefore,becomes
We now solve for y by subtracting 1 from each side
From here we divide both sides by 2 which results in
Example Question #1 :How To Find Inverse Variation
Find the inverse of.
To find the inverse we first switch the variables then solve for y.
Then we subtractfrom each side
Now we divide byto get our final answer. When we dividebywe are left with. When we dividebywe are left with. Thus resulting in:
Example Question #1 :How To Find Inverse Variation
Find the inverse equation of:
To solve for an inverse, we switch x and y and solve for y. Doing so yields:
Example Question #7 :Algebraic Fractions
Find the inverse equation of.
1. Switch theandvariables in the above equation.
2. Solve for:
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