Exponential Form Worksheets Grade 9

1. A bacterial culture starts with 500 bacteria and doubles every 3 hours. The population can be modeled by the function P(t) = 500 × 2^(t/3), where t is time in hours. How many bacteria will there be after 9 hours?
2. A right triangle is drawn on a coordinate plane with vertices at (0,0), (6,0), and (6,8). The triangle is then reflected across the line y = x. What is the area of the new triangle formed after reflection?
3. Mere's investment of $400 grows by 6% each year. Write the exponential function f(t) = a·b^t that models this growth.

…and 6 more problems

1. Liam is studying the spread of a viral social media post. The post initially reaches 50 people, and the number of people who see it increases by 150% every 2 hours. Write an exponential function in the form V(t) = ab^t that models the number of people who have seen the post after t hours.
2. A pharmaceutical company is testing a new medication that has a half-life of 8 hours in the human body. If a patient takes a 400 mg dose, write an exponential function in the form M(t) = ab^t that models the amount of medication remaining in the patient's system after t hours.
3. A population starts at 1200 and decreases by 15% each year. Write the exponential function in the form f(t) = a·b^t.

…and 6 more problems

1. A pharmaceutical company is testing a new drug that decays exponentially in the bloodstream. A patient receives an initial dose of 800 mg, and after 4 hours, only 200 mg remain active. Write an exponential function in the form D(t) = ab^t that models the amount of active drug in milligrams after t hours.
2. 2^(3x) = 64 = ?
3. A radioactive substance decays according to the function A(t) = 800 × (1/2)^(t/12), where A(t) is the amount in grams remaining after t years. How many grams will remain after 36 years?

…and 5 more problems