Question 1. The sales totals at Robert's food store have increased linearly over the months.
Which of these best shows the sales in the first three months?
$1200 in the first month, $1212 in the second month, $1224.12 in the third month
$1200 in the first month, $1236 in the second month, $1273.08 in the third month
$1200 in the first month, $1285.48 in the second month, $1370.96 in the third month
$1200 in the first month, $1224.28 in the second month, and $1248.48 in the third month
Question 2. The average annual salary of the employees of a company in the year 2005 was ninety thousand dollars. It increased by the same factor each year and in 2006, the average annual salary was $91,200. Let f(x) represent the average annual salary, in thousand dollars, after x years since 2005.
Which of the following best represents the relationship between x and f(x)? f(x) = 91.2(1.013)x f(x) = 90(1.013)x f(x) = 91.2(2.2)x f(x) = 90(2.2)x 3.
Question 3. Jack invested some money in a bank at a fixed rate of interest compounded annually.
The equation below shows the value of his investment after x years: f(x) = 300(1.02)x
What was the average rate of change of the value of Jack's investment from the third year to the fifth year? 6.43 dollars per year 8.24 dollars per year 12.86 dollars per year 14.26 dollars per year
Question 4. The functions f(x) and g(x) in the table below show Jane's and Mariah's savings respectively, in dollars, after x days. Some values are missing in the table. x(years) 1 2 3 g(x) = 3x Jane's savings in dollars 3 9 f(x) = 3x + 3 Mariah's savings in dollars 6 9 5.
Which statement best describes Jane and Mariah's savings in the long run?
Jane will save more than Mariah. Mariah will save more than Jane.
The savings will increase by the same factor for both. The savings will increase by the same percentage for both. 6.
Which statement best describes the effect of replacing the function f(x) = 2x + 2 with the function g(x) = 2x - 3?
Question 5. The price of gold has increased by 35% per year from 2000. In the year 2000, Harry bought a gold ring for $590.
Which of the following functions f(x) can be used to represent the price of the ring x years after 2000? f(x) = 590(1.35)x f(x) = 590(0.65)x f(x) = 35(0.41)x f(x) = 35(1.59)x 8.
Question 6. A ball is dropped from a certain height. The function below represents the height f(n), in feet, to which the ball bounces at the nth bounce: f(n) = 9(0.7)n
What does the number 0.7 represent?
The ball bounces to 30% of its previous height with each bounce.
The height at which the ball bounces at the nth bounce is 0.3 feet.
The ball bounces to 70% of its previous height with each bounce.
The height from which the ball was dropped at the nth bounce is 0.7 feet.