U.S. movie box office receipts, in billions of dollars, are shown in 5-year increments from 1986-2006. These receipts, R, are reasonably approximated by the linear model R= .28944x +3.5286 where x = 0 corresponds to 1986, x= 5 corresponds to 1991, and so on. Using the model, calculate the year in which the receipts reach each amount. (a) $5.3 billion (b) $7 billion

U.S. movie box office receipts, in billions of dollars, are shown in 5-year increments from 1986-2006. These receipts, R, are reasonably approximated by the linear model R= .28944x +3.5286 where x = 0 corresponds to 1986, x= 5 corresponds to 1991, and so on. Using the model, calculate the year in which the receipts reach each amount. (a) $5.3 billion (b) $7 billion

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

See similar textbooks

Similar questions

If $4000 is invested for t years at 8% interest compounded continuously, the future value is given by S = 40000.08 dollars. Complete parts (a) through (c). (a) Graph this function for 0≤t≤15. Choose the correct graph below. 15 15 洱海 B. 34,000 A. 34,000 © C. AS 34,000 (b) Use the graph to estimate when the future value will be $12,000. Choose the correct answer below. B. t≈ 13.73 years A. t≈ 12.73 years (c) Complete the following table. t (Year) S ($) 8 7,585.92 (Round to the nearest whole number as needed.) Complete the following table. t (Year) 5 S ($) 25 (Type an integer or decimal rounded to two decimal places as needed.) D. AS Q 34,000 G 0 15 0+ 0 15 C. t≈ 14.73 years OD. t≈27.46 years
The number of hours of video uploaded to YouTube per minute is shown in the table below. Year # of hours of video uploaded per minute 2007 6 2008 10 2009 20 2010 24 2011 48 2012 60 2013 100 Let y be the video upload rate at x years since 2005. Construct a scatterplot by hand. Is the relationship linear or exponential? Increasing or decreasing? Write an equation modeling the number of hours of video uploaded per minute if the initial number of hours is 2.6 and it increases by 59%. Use your equation to find the number of hours uploaded in 2015.
8. Egg production in the United States was 12936.8 million pounds in 2016 up from 9074.4 million pounds in 1996. Assume that the increase is linear. Write a formula for the situation. round values to thousandths. Define variables as Y = Years since 1996and E = Eggs in ? of pounds a. Formula: b. Use your formula and algebra to complete the sentence: The number of eggs produced will surpass 14000 million in the year
You borrow $10,000 into an account that earns 4.5% interest each year. Give the equation of the line and give the total amount you owe have after 30 years.
A $27,000 car has a resale value of $19,000 five years after it was purchased. Assuming the value of this car depreciates linearly, estimate the value of the car 8 years after it was purchased. Enter number only; if your answer is $12,345, enter 12345.
A car initially sold for $23,999. Its class life is 12 years, and the car depreciates by $750 each year. Express this as a linear function. Find the salvage value. Then, find the value after six years.
A company buys a new bulldozer for $92050. The company depreciates the bulldozer linearly over its useful life of 17 years. Its salvage value at the end of 17 years is $12150. Depreciation is the decrease or loss in value of the equipment due to age, wear, or market conditions. Express the value of the bulldozer, V, in terms of how many years old it is, t. V=______________ The value of the bulldozer after 5 years is $______________
Write an equation in the form y = a(b)x to model the situations below: a) Josephine opens a new savings account with Scotiabank that earns /2 0.0625% monthly interest. Josephine deposits $225.00 into this account on the first day of the first month. b) Harold purchases a brand new vehicle for $39,525. According to recent /2 data from Black Book this vehicle will depreciate 20% of its original value after the first year.
Music camp enrollment during summer 1995 was 184 students. Over the years, the camp became more popular and in 2013, the enrollment had increased to 1,318 students. Assuming this increase was linear, calculate the rate at which the enrollment had increased. The rate at which the enrollment had increased is____students per year.
In the summer, a certain lake’s water temperature is known to increase linearly with time. On June 1, the water temperature is measured at 40°F, and on July 1, it is 55°F. Which of the following represents the water temperature of the lake on July 31? a. 70°Fb. 65°Fc. 60°Fd. 75°Fe. 68°Ff. 72°F
Suppose that the number of tee shirts sold (N) depends linearly on the price charged (x). Write an equation showing this dependence.