1. A store receives 2,000 decks of popular trading cards. The number of decks of cards is a function, d, of the number of days, t, since the shipment arrived. Here is a table showing some values of d. Calculate the average rate of change for the following intervals: d(t) 0. 2,000 1,283 10 823 15 528 338 Day 15 to Day 20 20

1. A store receives 2,000 decks of popular trading cards. The number of decks of cards is a function, d, of the number of days, t, since the shipment arrived. Here is a table showing some values of d. Calculate the average rate of change for the following intervals: d(t) 0. 2,000 1,283 10 823 15 528 338 Day 15 to Day 20 20

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter10: Radical Functions And Equations

Section: Chapter Questions

Problem 9CR

See similar textbooks

Similar questions

Find the average rates of change of f(x)=x2+2x (a) from x1=3 to x2=2 and (b) from x1=2 to x2=0.
bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
The following table shows the net monthly income N for a real estate agency as a function of the monthly real estate sales s, both measured in dollars. s = Sales N = Net income 450,000 3000 500,000 3500 550,000 4000 600,000 4500 (a) Make a table showing, for each of the intervals in the table above, the average rate of change in N. Interval 450,000 to 500,000 500,000 to 550,000 550,000 to 600,000 Rate of change What pattern do you see? The average rate of change increases at a constant rate.The average rate of change decreases at a constant rate. The average rate of change is constant.The average rate of change increases at a decreasing rate. (b) Use the average rate of change to estimate the net monthly income for monthly real estate sales of $520,000.$ In light of your answer to part (a), how confident are you that your estimate is an accurate representation of the actual income? Due to the constant rate of change, this should be an accurate…
The following table represents the prices of copper futures (in USD) from theperiod of time from 14.06.2020 to 06.06.2021, where t is time since 14.06.2020 (measured in weeks) and f(t) is the corresponding price: t f(t) 0 2.6655 1 2.7120 2 2.7800 3 2.9255 4 2.9355 5 2.9220 6 2.9110 7 2.8445 8 2.9070 t f(t) 9 2.9570 10 3.0365 11 3.0810 12 3.0590 13 3.1215 14 2.9785 15 2.9900 16 3.0800 17 3.0720 t f(t) 18 3.1305 19 3.0565 20 3.1635 21 3.1890 22 3.3125 23 3.4210 24 3.5285 25 3.5340 26 3.6370 t f(t) 27 3.5675 28 3.5240 29 3.6800 30 3.6070 31 3.6315 32 3.5565 33 3.6265 34 3.7885 35 4.0775 t f(t) 36 4.0925 37 4.0755 38 4.1400 39 4.1130 40 4.0680 41 3.9905 42 4.0400 43 4.1680 44 4.3360 t f(t) 45 4.4680 46 4.7485 47 4.6545 48 4.4810 49 4.6775 50 4.5290 51 4.5375 Let L(x) be the third Lagrange polynomial for the function f(x) with the nodes X0 = 0, x1 =…
The analysis of tooth shrinkage by C. Loring Brace and colleagues at the University of Michigan’s Museum of Anthropology indicates that human tooth size is con-tinuing to decrease and that the evolutionary process has not yet come to a halt. In northern Europeans, for example, tooth size reduction now has a rate of 1% per 1000 years. a. If t represents time in years and y represents tooth size, use the condition that y = 0.99y0 when t = 1000 to find the value of k in the equation y = y0 ekt. Then use this value of k to answer the following questions. b. In about how many years will human teeth be 90% of their present size? c. What will be our descendants’ tooth size 20,000 years from now (as a percentage of our present tooth size)?
Find the average rate of change of the function over the given intervals. f(x)=4x3+4 a) [2,4] b) [−5,5]
Compute the average rate of change of 16 - 7t on the following interval: [ − 2 , 2 2 ] SHOW ON YOUR WORK Group of answer choices -7 7 7/3 -7/3
If (x1, f(x1)) and (x2, f(x2)) are distinct points on the graph of a function f, the average rate of change of f from x1 to x2 is Δy /Δx =_________.
Find the average rate of change of f(x)= -2x²+4 over each of the following intervals. (a) From 1 to 1 (b) From 2 to 4 (c) From 2 to 5
The profits of a small company for each of the first five years of itsoperation are given in the following table:Year Profit in $1000s2010 62011 272012 622013 1112014 174 What is the average rate of increase of the profits between 2012 and 2014?
The analysis of tooth shrinkage byC. Loring Brace and colleagues at the University of Michigan’s Museum of Anthropology indicates that human tooth size is continuing to decrease and that the evolutionary process has not yetcome to a halt. In northern Europeans, for example, tooth sizereduction now has a rate of 1% per 1000 years.a. If t represents time in years and y represents tooth size, usethe condition that y = 0.99y0 when t = 1000 to find thevalue of k in the equation y = y0ekt. Then use this value of kto answer the following questions.b. In about how many years will human teeth be 90% of theirpresent size?c. What will be our descendants’ tooth size 20,000 years fromnow (as a percentage of our present tooth size)?