Graphing Exponential Functions Answers

Which statement describes the behavior of the graph of the function shown at the vertical asymptotes?

Blake simplified the expression to . Since this answer is incorrect, what was Blake’s mistake?

Megan borrowed $50,000 at 5% simple interest for 6 years. Joseph borrowed $60,000 at 4% simple interest for 8 years. The formula can be used to calculate the monthly payment, m, where P is the principle amount borrowed, r is the rate expressed as a decimal, and t is the amount of time for the loan, in years. Who will have a greater monthly payment, and by how much?

Which expression is equivalent to ?

The table below shows y, the average speed of a cyclist in miles per hour, and x, the time in hours that it takes the cyclist to complete a bicycle tour. Which rational function best models the data in the table?Time, x(hours)Average Speed, y(miles per hour)128166918

Which graph represents a function that has the domain (–∞, –4) ⋃ (–4, 3) ⋃ (3, ∞), has a y-intercept at (0, 3), and is increasing on the interval (0, 4)?

Mr. Knotts found the difference of the following expression. Which statement is true about Mr. Knotts’s work? Step 1: Step 2: Step 3: Step 4:

Which statement describes the vertical asymptotes of the graph of ?

The kinetic energy, K, of an object varies jointly with its mass, m, and the square of its velocity, v. The mass of an object stays the same, but the velocity of the object is halved. How is the kinetic energy of the object affected?

Which expression is equivalent to ?

The potential energy of an object varies jointly with the mass of the object and the height of the object off the ground. A 25-kg object has 980 joules of potential energy when it is 4 meters off the ground. Another object has 150 joules of potential energy at 3 meters off the ground. What is the mass of the second object? Round to two decimal places.

When p = 12, t = 2, and s = , r = 18. If r varies directly with p and inversely with the product of s and t, what is the constant of variation?

The quantity q varies inversely with the square of m and directly with the product of r and x. When m is 4 and the product of r and x is 8, q is 2.5. What is the constant of variation?

What is the product of ?

Marshall bought 32 ounces of mixed nuts, which are estimated to be 30% peanuts. Which expression can be used to find the percentage of peanut concentration of the final mix if he adds x ounces of peanuts?