2.1\nscore: 28/30 answered: 28/30\nquestion 29\nthe yearly amount of global box - office revenue, r, in…
2.1\nscore: 28/30 answered: 28/30\nquestion 29\nthe yearly amount of global box - office revenue, r, in billions of u.s. dollars, has been rising according to the following equation:\n$r = 1.82t+27.87$\nwhere t is the number of years since 2008.\n a. according to this equation, in billions of dollars, what will be the box - office revenue in 2014?\n$ billion\n b. what does the r - intercept represent for this problem?\nthe global box - office revenue in 2008.\nthe year in which the global box - office revenue will be 2008.\nthe yearly change in global box - office revenue.\nquestion help: ebook written example
Answer
Explanation:
Step1: Calculate the value of t
The year is 2014 and t is the number of years since 2008. So $t = 2014 - 2008=6$.
Step2: Substitute t into the equation
Substitute $t = 6$ into $R = 1.82t+27.87$. Then $R=1.82\times6 + 27.87$. First, calculate $1.82\times6=10.92$. Then $R=10.92 + 27.87=38.79$.
For part b: In the linear - equation $y = mx + b$ (in our case $R = 1.82t+27.87$), the $y$ - intercept (or $R$ - intercept when $t = 0$) represents the value of $R$ when $t = 0$. Since $t$ is the number of years since 2008, when $t = 0$, it is the year 2008. So the $R$ - intercept represents the global box - office revenue in 2008.
Answer:
a. 38.79 b. The global box office revenue in 2008.