(03.03 MC) The following table shows the expressions that represent the sales of two companies: Company A B Sales 110(0.70)x 430(1.90)x Which company has the largest percent of increase?
(03.08 HC) Belinda is thinking about buying a car for $45,0…
(03.08 HC) Belinda is thinking about buying a car for $45,000. The table below shows the projected value of two different cars for three years. Number of years 1 2 3 Car 1 (value in dollars) 40,500 36,450 32,805 Car 2 (value in dollars) 42,000 39,000 36,000 Part A: What type of function, linear or exponential, can be used to describe the value of each of the cars after a fixed number of years? Explain your answer. (2 points) Part B: Write one function for each car to describe the value of the car f(x), in dollars, after x years. (4 points) Part C: Belinda wants to purchase a car that would have the greatest value in 13 years. Will there be any significant difference in the value of either car after 13 years? Explain your answer, and show the value of each car after 13 years. (4 points)
(03.02 MC) Jessa bought her home for $125,000 in 2010. Prop…
(03.02 MC) Jessa bought her home for $125,000 in 2010. Property values have increased 15% every year since she has owned the home. Which of the following equations can be used to represent the price of the home x years after 2010?
(03.02, 03.03, 03.04 MC) The price of products may increase…
(03.02, 03.03, 03.04 MC) The price of products may increase due to inflation and decrease due to depreciation. Marco 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) = 72(1.25)x Part A: Is the price of product A increasing or decreasing and by what percentage per year? Justify your answer. (5 points) 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) 65 84.5 109.85 142.81 Which product recorded a greater percentage change in price over the previous year? Justify your answer. (5 points)
(03.02, 03.03, 03.04 MC) The price of fuel may increase due…
(03.02, 03.03, 03.04 MC) The price of fuel may increase due to demand and decrease due to overproduction. Marco is studying the change in the price of two types of fuel, A and B, over time. The price f(x), in dollars, of fuel A after x months is represented by the function below: f(x) = 2.96(1.04)x Part A: Is the price of fuel A increasing or decreasing and by what percentage per month? Justify your answer. (5 points) Part B: The table below shows the price g(m), in dollars, of fuel B after m months: m (number of months) 1 2 3 4 g(m) (price in dollars) 3.04 3.22 3.41 3.61 Which type of fuel recorded a greater percentage change in price over the previous month? Justify your answer. (5 points)
(03.08 MC) The same amount of trash is dumped into a landfi…
(03.08 MC) The same amount of trash is dumped into a landfill every day. The function below shows the total number of tons of trash n in the landfill after x days: n = 2000x + 1000 What does the number 2,000 represent?
(03.03 MC) Sophia invested some money in a bank at a fixed…
(03.03 MC) Sophia invested some money in a bank at a fixed rate of interest compounded annually. The equation below shows the value of her investment after x years: f(x) = 500(1.05)x What was the average rate of change of the value of Sophia’s investment from the second year to the fourth year?
(01.06 MC) A dolphin swims 665,280 feet in 3 hours. Use th…
(01.06 MC) A dolphin swims 665,280 feet in 3 hours. Use the formula d = rt, where d represents distance, r represents rate, and t represents time, to answer the following questions. Show your work. Part A: Rearrange the distance formula, d = rt, to solve for rate. (2 points) Part B: Find the dolphin’s rate in feet per hour. (3 points) Part C: Find the dolphin’s rate in miles per hour. (3 points) Part D: Which unit, feet, or miles, makes more sense to use in this scenario, and why? (2 points)
(03.02 LC) Which of the following is a function equivalent…
(03.02 LC) Which of the following is a function equivalent to f(x) = 4(1.8)2x?
(01.06 MC) A falcon flies 800,000 meters in 4 hours. Use t…
(01.06 MC) A falcon flies 800,000 meters in 4 hours. Use the formula d = rt, where d represents distance, r represents rate, and t represents time, to answer the following questions. Show your work. Part A: Rearrange the distance formula, d = rt, to solve for rate. (2 points) Part B: Find the falcon’s rate in meters per hour. (3 points) Part C: Find the falcon’s rate in kilometers per hour. (3 points) Part D: Which unit, meters, or kilometers, makes more sense to use in this scenario, and why? (2 points)