Which graph or equation represents a Nonpoportional relationship A B C or D

Mathematics

1 answer:

VARVARA [1.3K]2 years ago

7 0

Answer:

Step-by-step explanation:

A graph that represents a proportional relationship usually has the line cutting through the line of origin (0, 0).

The graph in option A does not have the line passing through the point of origin (0, 0), therefore, it does not represent a proportional relationship.

For an equation that represents a proportional relationship, it is written in the form of y = kx

Where, k is the constant of proportionality.

Therefore, the two equations given represents a proportional relationship.

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Butoxors [25]

a function that model the number of people that receives email in week t is $P(t)=37(4)^{\frac{t}{9.1}}$ .

<u>Step-by-step explanation:</u>

Here we have , Tobias sent a chain letter to his friends . The number of people who receives the email increases by a factor of 4 in every 9.1 weeks , and can be modeled by a function P, which depends on the amount of time t weeks . Tobias initially sent letter to 37 friends . We need to write a function that model the number of people that receives email in week t . Let's find out:

Basically it's an exponential function as

$f(x) = e^{ax}$ , In question initial value is 37 & and for every 9.1 weeks there is increase in people by a factor of 4 i.e.

⇒ $P(t)=37(4)^t$

But , wait ! People increase in every 9.1 weeks not every week so modified equation will be :

⇒ $P(t)=37(4)^{\frac{t}{9.1}}$

Therefore , a function that model the number of people that receives email in week t is $P(t)=37(4)^{\frac{t}{9.1}}$ .

4 0

2 years ago

Sharon is conducting research on two species of birds at a bird sanctuary. The number of birds of species A is represented by th

e-lub [12.9K]

Answer: After 7 years the number of birds of species A and B are same. and the number of birds during that year will be 140.

Step-by-step explanation:

Given: Sharon is conducting research on two species of birds at a bird sanctuary.

The number of birds of species A is represented by the equation below,where S represents the number of birds, x years after beginning her research.

$S=2^x+12$

The number of birds of species B is represented by the equation below,where S represents the number of birds, x years after beginning her research.

$S=15x+35$

To plot the above function, first find points by which they are passing.

For species A, At x=0 , $S=1+12=13$

At x=2 , $S=2+12=14$

Similarly find more points and plot curve on graph.

For species A, At x=0 , $S=0+35=35$

At x=2 , $S=15+35=50$

Plot a line with the help of these two points.

Now, from the graph the intersection of curve (for A) and line (for B) is at (7,140) which tells that After 7 years the number of birds of species A and B are same. and the number of birds during that year will be 140.