Answer:
The number of cases in the year 2010 is 266.
Step-by-step explanation:
An exponential function is one that the independent variable x appears in the exponent and has a constant a as its base. Its expression is:
f(x)=aˣ
being a positive real, a> 0, and different from 1, a ≠ 1.
In this case:
where t is the number of years since 1960 and e is an irrational number of which it is not possible to know its exact value because it has infinite decimal places. The first figures are 2,7182818284590452353602874713527 and is often called the Euler's number. e is the base of natural logarithms.
In this case, you want to know the number of cases r (t) in 2010. So, to know t you must know how many years have passed since 1960. For that, you can simply do the following subtraction: 2010-1960 and you get as a result : 50.
Replacing in the exponential expression r (t):
Solving:
r(t)=265.79 ≅ 266
<u><em>The number of cases in the year 2010 is 266.</em></u>
If the line is parallel to the one given, their slopes are the same, so we need to find the y-intercept, then we can determine the slope-intercept form parallel to the given line.
Now that we have the y-intercept, we can create the equation.
We can prove this by graphing both lines, like so.
