Shows that usually cost $124.95 are on sale for $87.46. What percent off are they?
1 answer:
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Answer:
The constant of proportionality is option D i.e 5.
Step-by-step explanation:
Variation:
Variation problems involve fairly simple relationships or formulas, involving one variable being equal to one term. There are two types of variation i.e.
- Direct variation
- Inverse variation
Direct Variation:
Mathematical relationship between two variables that can be expressed by an equation in which one variable is equal to a constant times the other.
Example
where, k is constant of proportionality.
The above given example is of Direct Variation
∴ y = 5 x
∴ k = 5 = constant of proportionality.
Inverse Variation:
Mathematical relationship between two variables which can be expressed by an equation in which the product of two variables is equal to a constant.
Example
where, k is constant of proportionality.
Answer:
Step-by-step explanation:
The given differential equation is :
xy′−3y=6
We want to determine which of the following options is a solution to the differential equations.
The function that satisfies the differential equation is a solution.
We can verify that
satisfy this differential equation.
We differentiate to get:
We substitute the function and its derivative into the differential equation to get:
We expand and simplify on the left:
This simplifies to:
Verified.
We can show that all the other functions do not satisfy this differential equation
Since the ratio of mother to daughter is 4:1, the weight of the mother and daughter together is five times the weight of the daughter.
In fact, if the daughter weights pound, the mother weights
pounds, and the total weight is
.
We know that this total is 185 pounds, so we have
So, the daughter weights 37 pounds.