2023 Category 5

What is the equation of the asymptote of the graph of the function y = 16 (0.75)^x?

​ (a)   =​ (b)  

• y
• 0
• x
• 0.75
• 12
• 16

Which statement about p(x) = -7(4)^x is true?

• The domain is all real numbers greater than or equal to 4.

• The range is all real numbers less than 0.

• The domain is all real numbers less than or equal to 0.

• The range is all real numbers.

• The initial number of whales in the North Atlantic Ocean

• The decay factor of the number of whales in the North Atlantic Ocean

• The number of whales in the North Atlantic Ocean at the end of the first year

• The growth factor of the number of whales in the North Atlantic Ocean

This year the number of students who participated in sports was 317. Each year the number of students who participate in sports increase by 4%.

Which function can be used to model the number of students participating in sports after x years?

• f(x) = 317 (4)^x

• f(x) = 4x + 317

• f(x) = 317 (1.04)^x

• f(x) = 1.04x + 317

A customer purchases an electronic device for $650. Each year the value of the electronics device decreases by 30%.

Which statement is true about the graph that represents the relationship between the value of the device in dollars, y, and the number of years, x, since the device was purchased?

• The y-intercept of the graph is 650.

• The y-intercept of the graph is 455.

• The graph has a vertical asymptote at x = 0.

• The graph has a horizontal asymptote at y = 30.