So exponenetial growth or decay
it goes like this
f(t)=P(1+r)^t
r=rate of decay or grouth
if r>0 then it is grouth by r
if r<0 then it is decay
i
P=initial amount
so
given
f(x)=5500(1.65)^t
f(x)=5500(1+0.65)^t
0.65>0 so it is growing by 65%
The answer will be 160.99 or 161????
Vertex = 2, -9
Intercept = 0, -5
You can find this by distributing the parenthesis and then finding the vertex using -b/2a.
Answer:
We kindly invite you to see the image attached for further details.
Step-by-step explanation:
From Analytical Geometry we get that linear functions can be found after knowing a point and its slope. The standard form of a linear function is represented by the following formula:
(Eq. 1)
Where:
- Independent variable, dimensionless.
- Dependent variable, dimensionless.
- Slope, dimensionless.
- y-Intercept, dimensionless.
At first we need to calculate the y-Intercept, which is cleared within (Eq. 1):

If we know that
,
and
, then the y-Intercept of the linear function is:


Line with a slope of
that goes through the point (2, 1) is represented by
.
Lastly, we graph the line by using a plotting software (i.e. Desmos), whose result is included below as attachment.