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Example Questions
Example Question #11 :Algebraic Fractions
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?
1
8
2
6
4
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 #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:
Example Question #1 :Algebraic Fractions
When,.
When,.
Ifvaries inversely with, what is the value ofwhen?
Ifvaries inversely with,.
1. Using any of the twocombinations given, solve for:
Using:
2. Use your new equationand solve when:
Example Question #1 :How To Find Inverse Variation
x |
y |
Ifvaries inversely with, what is the value of?
An inverse variation is a function in the form:or, whereis not equal to 0.
Substitute eachin.
Therefore, the constant of variation,, must equal 24. Ifvaries inversely as,must equal 24. Solve for.
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