The number of members f(x) in Joe's health club increased by 25% every year over a period of x years. The function below shows t
he relationship between f(x) and x: f(x) = 15(1.25)x Which of the following graphs best represents the function?
2 answers:
Solution:
It is given that , number of members f(x) in Joe's health club increased by 25% every year over a period of x years.
The relationship between f(x) and x is given as:
Replacing f(x) by y, in the above equation
y=
To draw the graph without the help of Desmos, find diifferent value of y, for different values of x, For example , for x=1
We get , y= = 18.75
For, x=2
y= =15 × 1.5625=23.4375
For, x=3
y= = 29.296875
So, for different values of x, we get different values of y. Mark these points in the coordinate plane, and join them . You will get the graph of the above function :⇒ f(x)=
Graph is depicted below.
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Answer: (1.5, 0)
Step-by-step explanation:
Given : The shape of his satellite can be modeled by where x and y are modeled in inches.
Now,the given equation is a equation of parabola.
Here, coefficient of x is positive, hence the parabola opens rightwards.
On comparing this equation with standard equation , we get
In standard equation, coordinates of focus=(m,0)
Thus for given equation coordinates of focus=(1.5,0)
First, let's deal with the fraction in the denominator of the exponent. Multiply the top and bottom of the exponent by 6.
Now that the fraction in the denominator is taken care of, we can reduce the denominator.
. Some professors might accept this as simplest form, but others might ask you to get rid of the negative.