I'm stuck could anyone explain or tell me what to do please?
The number of trucks registered in a city each year increases by 10% each year. Initially there were 100 trucks registered.
Write a function T(r)
that represents the number of trucks registered in the city in year r.
What is the number of trucks registered in the city in Year 8?
Round your answer to the nearest whole number.
T)r) = 100 (1.1)^r
plug in r = 8 and calculate
each year, the number of trucks is 110% of the previous year
T(r) = 100 * (1 + .10)^r
To find the number of trucks registered in the city in Year 8, we need to use the function T(r) that represents the number of trucks registered in year r.
The function is defined as follows:
T(r) = 100 * (1 + 0.1)^r
In this case, we want to find T(8), which means plugging in 8 for r in the function and evaluating it.
T(8) = 100 * (1 + 0.1)^8
T(8) = 100 * (1.10)^8
T(8) = 100 * (1.10 * 1.10 * 1.10 * 1.10 * 1.10 * 1.10 * 1.10 * 1.10)
To evaluate this expression, we can use a calculator or write a simple program to multiply 1.10 by itself 8 times.
Once we have the result, we can round it to the nearest whole number as instructed.