EOC Review 9

Beverly is starting a new diet. Her current weight is 160 pounds. She expects to lose 4 pounds per month. If x represents the number of months Beverly is on the diet, which linear function models the situation?

• y = 4x − 160

• y = − 4x + 160

• $y=\frac{1}{4}x+160$

• y = − 4x

Ben invests a small amount of money each month for his son's college education in a savings account that compounds interest monthly. If he never takes money out of the account, what does the graph of his investment look like before his son goes to college?

• constant

• quadratic

• exponential decay

• exponential growth

The population of a country is decreasing, and its population (in millions) over six years is shown in the table. Find an exponential regression curve to model this situation.

Hint: USE DESMOS

• 
  

  $y=54.3(.918^x)$

• $y=67.2(.887^x)$

• $y=72.8(.842^x)$

• $y=83.9(.903^x)$

The amount of money, in dollars, in a savings account after x years is given by M(x) = 900(1.07)^x. What does the factor 900 represent?

• The original deposit was $900.

• The account earns $900 per month.

• The account earns interest for 900 months.

• The account earns 9 percent interest each year.

The exponential function g(x) is shown on the graph. Suppose f(x) = 1. Which statement is true when comparing f(x) to g(x)?

• The y-intercept for g(x) is greater than for f(x).

• The y-intercept for f(x) is greater than for g(x).

• The y-intercept for f(x) is 0, and the y-intercept for g(x) is 1.

• The y-intercept for both functions is 1.

A rectangle's length is 6 units greater than its width. Which type of polynomial function would be most appropriate for modeling the area of the rectangle?

• constant

• cubic

• exponential

• quadratic

Which equation would shift the parabola down 3 units?

• y = x²

• y = x² - 3

• y = x² + 3

• y = (x + 3)²

This exponential function y = 3(2)^x + 4 represents the growth of a certain species of animal in a specific area. The y-axis represents the number of that animal present and the x-axis represents years. What can you say about the growth of the population of the species every year?

• The growth rate doubles each year.

• The growth rate triples each year.

• The growth rate increases by 2 each year.

• The growth rate increases by 5 each year.

Which point is the solution to the system of equations graphed?

• (-3, -3)

• (0, 6)

• (3, 3)

• (6, 0)

Which function corresponds to the table?

• y = 3x - 2

• y = 2x + 3

• y = -2x + 3

• y = -3x + 2