Question

a tech company determined that the function $r(t)=1.5t + 120$ can be used to model their total annual revenue, $r$, in millions of dollars, for the years 2010 - 2020 where t is the number of years since 2010. what is the meaning of $r(0)$ in this context? the total annual revenue was $0 million in 2010. the total annual revenue was $1.5 million in 2011. the total annual revenue was $120 million in 2010. the total annual revenue was $121.5 million in 2011.

Explanation:

Step1: Identify the value of t for 2010

Since t is the number of years since 2010, for the year 2010, t = 0.

Step2: Substitute t = 0 into the function

Substitute t = 0 into $R(t)=1.5t + 120$. We get $R(0)=1.5\times0+120$.

Step3: Calculate the value of R(0)

$1.5\times0+120=0 + 120=120$. So $R(0)$ represents the total - annual revenue in 2010, which is $120$ million dollars.

Answer:

The total annual revenue was $120$ million in 2010.