Modeling with Functions Answers

A science teacher wrote the table of values below.Amount of Hydrogen vs. pHAmount of Hydrogen, x(in moles per liter)pH, f(x)12345Which function models the data in the table?

A new car sells for $25,000. The value of the car decreases by 15% each year. What is the approximate value of the car 5 years after it is purchased?

A rectangle with constant area has possible lengths and widths as shown in the table below. Width vs. Length of a RectangleWidth (w)Length (l)237.5418.75612.589.375Which equation can be used to find any corresponding length and width that fit the pattern in this table?

Tasha invests $5,000 at 6% annual interest and an additional $5,000 at 8% annual interest. Thomas invests $10,000 at 7% annual interest. Which statement accurately compares Tasha’s and Thomas’s investments if interest is compounded annually?Compound interest formula: t = years since initial depositn = number of times compounded per yearr = annual interest rate (as a decimal)P = initial (principal) investmentV(t) = value of investment after t years

Janis was offered two different jobs when she graduated from college. She made the graph and table to show how much she would earn over time at each job.Earnings over Time for Job 1Earnings over Time for Job 2When will Janis’s salary be the same for job 1 and job 2, and how much will she be earning at that point?

The pressure of a fixed volume of a certain gas is related to its temperature as shown in the table below.Temperature of Gas vs. Pressure Temperature (in degrees Celsius)Pressure (in pascals)44915293609568977699Which type of function best models the data in the table?

Jordan uses a linear equation to model the data in a table. Which reasoning might Jordan have used in the decision to model the data with a linear equation?

Which type of function best models the data in the table below?xy244268110

A travel agency made the table below to represent the profits it makes on a certain vacation package.Number of People vs. ProfitNumber of People Who Buy the Package, xProfit per Person (in dollars), y1050020800309004080050500Which of the following explains the best model for the data in the table?

The distance it takes a car to come to a complete stop after the brakes are applied is related to the speed that the car is traveling. The stopping distances and speeds are shown in the table below.Stopping Distance of a Car vs. SpeedStopping Distance, d (in feet)Speed, s (in miles per hour)2017.894025.306030.988035.7810040.00Which equation best represents the data in the table?