Thinking Question4. The following function has boxes with missing values. Write numbers inside those boxes to ensurethe instantaneous rate of change is positive for x = -4 and a negative instantaneous rate ofchange for x = -4. Then, show your calculations to prove your numbers work.Note: the third box is an exponent, and9 is being subtracted from the whole thingy = (r+9.www.

The rate of change from the coordinates of y to coordinates of x can found out as Δy/ Δx = (y2 - y1…

Answered: The following function has boxes with…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter6: Systems Of Linear Equations And Inequalities

Section6.2: Substitution

Problem 25PPS

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Belinda wants to invest $1000. The table below shows the value of her Investment under two different options for three different years:Number of years23Option 1 (amount in dollars) 1100 1200 1300Option 2 (amount in dollars) 1100 1210 1331Part A: What type of function, linear or exponential, can be used to describe the value of the investment after a fixed number of years using option 1 and option 2? Explain youranswer. Part B: Write one function for each option to describe the value of the investment f(n), in dollars, after n years. Part C: Belinda wants to invest in an option that would help to increase her investment value by the greatest amount in 20 years. Will there be any significant difference in thevalue of Belinda's investment after 20 years if she uses option 2 over option 1? Explain your answer, and show the investment value after 20 years for each option.
1. Anita is on a competitive rowing team. After 2 minutes, the team rows at a constant speed of 4 meters per second. Which function represents the distance the boat travels as a function of the number of seconds they have rowed after the first 2 minutes? Explain your reasoning.
When the sun was directly overhead, the stick had no shadow. After 20 minutes, the shadow was 10.5 cm long. After 60 minutes, it was 26 cm long. 1) Based on this information, estimate how long it will be after 95 minutes. 2) After 95 minutes, the shadow measured 38.5 cm. How does this compare to your estimate? 3) Is the length of the shadow a function of time? If so, is it linear? Explain your thinking. *Answer 1,2, and 3*
Is the function to the right linear or nonlinear? Explain your answer.A.It is nonlinear because it increases and then decreases.B.It is nonlinear because it shows a constant rate of change.C.It is linear because it increases and then decreases.D.It is linear because it shows a constant rate of change
2. Describe how the function ?(?) = − 13 (? + 4)2 − 3 is transformed from ?(x) = ?2.
The price of products may increase due to inflation and decrease due to depreciation. Derek is studying the change in the price of two products, A and B, over time. The price f(x), in dollars, of product A after x years is represented by the function below: f(x) = 12500(0.82)x Part A: Is the price of product A increasing or decreasing and by what percentage per year? Justify your answer. Part B: The table below shows the price f(t), in dollars, of product B after t years: t (number of years) 1 2 3 4 f(t) (price in dollars) 5600 3136 1756.16 983.45 Which product recorded a greater percentage change in price over the previous year? Justify the answer. please solve accurate and exact with cmoplete steps and do not copy from anywhere Thank you
Part 2: Differentiate the following functions. Show your complete solution. Provide answer for number 4, 5 and 6
Determine whether the given statement makes sense or does not make sense, and explain your reasoning : "The function f(x) = (1.96x + 3.14)/(3.04x + 21.79), models the fraction of nonviolent prisoners in New York State prisons x years after 1980. I can conclude from this equation that over time the percentage of nonviolent prisoners will exceed 60%."
How can the transformation of the parent function below be described? Rate of change and prediction below are also part of the problem.
A high school student starts a new job working as a cashier at a grocery store. The first paycheck of 250$ is deposited into a savings account. Every 2 weeks on payday the student deposits 100$ into the savings account. What type of function best models the data? How did you use the data given to determine the best model? Use full sentences to answer.

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