Technology required. Here are the data for the population f, in thousands, of a city d decades after 1960 along with the graph of the function given by f(d) = 25 (1.19)d. Elena thinks that shifting the graph of f up by 50 will match the data. Han thinks that shifting the graph of f up by 60 and then right by 1 will match the data. population (thousands) 150 125 100 75 50 25 1 2 4 5 time (decades after 1960) a. What functions define Elena's and Han's graphs? Elena's: Han's: 6 :: f (d +50) :: f (d) + 50 :: f (d-1) + 60 :: f (d + 1) + 60

Technology required. Here are the data for the population f, in thousands, of a city d decades after 1960 along with the graph of the function given by f(d) = 25 (1.19)d. Elena thinks that shifting the graph of f up by 50 will match the data. Han thinks that shifting the graph of f up by 60 and then right by 1 will match the data. population (thousands) 150 125 100 75 50 25 1 2 4 5 time (decades after 1960) a. What functions define Elena's and Han's graphs? Elena's: Han's: 6 :: f (d +50) :: f (d) + 50 :: f (d-1) + 60 :: f (d + 1) + 60

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

Related questions

Q: The function f(x)=x2 underwent a vertical stretch with a scale factor of two and was translated four…

A: The objective of the question is to determine the new function after the original function f(x)=x^2…

Q: In one town the annual consumption, b, of beef (in pounds per person) can be estimated by b = 32…

A: The objective of the question is to find the t-intercept of the function b = 32 - 0.5t and interpret…

Q: The government gives 3 farmers each 200 yards of fence and tells the farmers that they can claim any…

A: The area(A) of a rectangle is calculated using the formula: A=l×w, where l is the length, w is the…

Q: The average cost per set for the production of television sets is given by 810+10x+0.1x² C(x)= where…

Q: The length L (in inches) of a hanging spring is a linear function of the mass M (in grams) suspended…

Q: If f is a one-to-one function with the following properties: f (3) = 13, f(21) = 4, f(5) = 1, and…

Q: Researchers in a certain country investigated how having daughters influences voting voting records…

Q: 2. Determine the equation of the following function. State your answer as a piecewise function. y 10…

Q: D. Graph the following functions. 1) f(x) = -4 f(x)=2x-3 2) 3) f(x) = |x|+2\

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: - The percentage of Americans y diagnosed with diabetes at so y the equation y = 0.42x - 13.91,…

A: The percentage of Americans y diagonalized with diabetes at some point in their lives can be modeled…

Q: Tourism Spending The equationy = 1.69x2 -0.92x + 324.10,with x equal to the number of years after…

A: The given equation for tourism spending is y=1.69x2-0.92x+324.10 In above equation x is number of…

Q: II. Suppose that the total worldwide sales for a song album are approximated by the function: 150x³…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Scientists in Malaysia have collected data revealing that there is a linear relationship between the…

A: Ix=2.41+0.12x (a) Substitute 70 for x into provided linear model. I70=2.41+0.1270=2.41+8.4=10.81 cm…

Q: A devastating freeze in California's Central Valley in Sanugry fHhe state's out approximately 75% of…

A: The given question should be converted into a linear equation using the given conditions. Then we…

Q: 10.) The graph f(x) = (x + 1) - 7is translated 3 units right, resulting in the graph g(x). Write an…

Q: Consider the graph of the function f(x) = x3. What would the graph look like if it was shifted down…

Q: +3. 5. a. Complete the following table where (x) = r- 3 and g(x) = Lt+ %3D 1 3. -2 -1 -5 -4 -3 4. 3…

A: Note: There are many questions and many subparts so please send a separate image for the separate…

Question

Technology required. Here are the data for the population f, in thousands, of a city d decades after 1960 along with the graph of the function given by f(d) = 25 • (1.19)d Elena thinks that shifting the graph of f up by 50 will match the data. Han thinks that shifting the graph of f up by 60 and then right by 1 will match the data.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

1. Consider the functions f (x) =÷x – 1 and g(x) = x² – 4. (a) Graph each function by filling in the table below. f(x) %=D글x-1 g(x) = x - 4 -2 -1 -9- -4 -3 -2 -1 3 4 6. -2 1 -3 2. For the problems below, show your work and report your answers as ordered pairs. (b) Give the x- intercepts of the function g(x) = x² – 4. %3D (c) Give the y- intercept of the function f (x) = x- 1.
The U.S. population can be modeled by the function y=165.6x¹.345, where y is in thousands and x is the number of years after 1800. (a) What was the population in 1970, according to this model? (b) is the graph of this function concave up or concave down? What does this mean? (c) Use numerical or graphical methods to find when the model estimates the population was 94,150,000. (a) According to the model, the population in 1970 was thousands. (Round to the nearest integer as needed.)
Getting going in the morning was probably hard for folks on the Overland Trail (just as it may be for you today), so coffee was a highly valued commodity. The Cazneau family starts their journey with a supply of 30 pounds of coffee. When they arrive at Sutter's Fort in California, 188 days later, they have only 3 pounds left. 1. Draw a graph showing the amount of coffee remaining as a function of the time elapsed since the start of the journey. For simplicity, assume the Cazneaus consume coffee at a constant rate. 2. Find the average amount of coffee consumed per day. 3. Develop an equation for the function represented by your graph. Find the slope of your graph. 4. 5. Suppose that at the beginning of their 188-day journey, the Cazneaus are 1600 miles from Sutter's Fort. a. How many miles per day do they travel? For simplicity, assume they travel the same distance each day. b. Of course, as the Cazneaus travel, their distance from Sutter's Fort decreases. Write a formula expressing the…
1. When you swim underwater, the pressure in your ears depends on the depth at which you are swimming. The formula p=0.43d relates the water pressure p, in pounds per square feet, to a depth of d feet. We can use this linear function to determine the pressure in your ears at a different depths. (a) If your depth is doubled, how did the pressure change? (b) Fill in the blank: i. If the depth is increasing, the pressure is ii. If the depth is decreasing, the pressure is
Etwell Desserts currently sells chocolate syrup at a price of $28. per bottle. Their researchdepartment has derived the price-demand equation as p=50−0.004 x where x is the number of bottles that can be sold at $ p per bottle. (a) Express the demand x as a function of price p. Find the domain of this function.
Scientists around the world have collected data revealing that there is a linear relation- ship between the length (snout-to-vent) of a snake and the length of the fish that they can eat. This relationship is given by l(x) = -3.6 +0.17x where x is the snout-to-vent length (cm) of the snake and 1(x) is the predicted length(cm) of the fish. (a) Use the function to estimate the size of fish that a snake whose snout-to-vent length is 70 cm, will choose for their prey. (b) Calculate l'(70) and interpret the results. 1. ints ints
II. Suppose that the total worldwide sales for a song album are approximated by the function: 250x³ x³ +7 where, S(x) = S(x) is the measured in millions of dollars; and x is the number of months since the album is released A. Use a graphing tool to show the graph of S(x) in the context of the situation. B. Construct a table to show the total number of sales for the first two years since the album's release. C. What will be the album's gross sales in the long run? Support your answer analytically using the concept of limits. D. Based on A, B, and C, discuss the trend of the gross sales of the album. Consider the function (for questions E and F) S(x) = E. What will happen to lim S(x) if k is replaced by any value greater than 7? Any value less than 7? Discuss x →00 how the number k affects the limit of S(x) as x gets very large. Support your answer graphically to show the variation. 250x³ x³ + k F. What will happen to lim S(x) if 250 is replaced by any constant? Support your answer…
Extra Problem: A sprinter runs the 100-yard dash in 10 seconds in the following fashion. She starts at rest (0 velocity), and for the first 6 seconds she speeds up to her highest speed. Unable to maintain that speed, she is slowing down for the last 4 seconds. You are to sketch a graph of her position along the track (in yards) as a function of time (in seconds). Be aware that she does not turn around and run toward the starting line, and she runs through the finish line rather than coming to a stop at the finish line.