Exponential Parameters Worksheets Grade 11

1. Aroha's investment grows according to V(t) = 950(1.12)^t, where V is the value in dollars and t is time in years. What does the number 950 represent? What does the number 1.12 represent?
2. Charlotte's investment grows according to the function V(t) = 8400(1.083)^t, where t is time in years. What does the number 8400 represent? What does the number 1.083 represent?
3. Emma is a financial analyst tracking the value of a vintage watch collection. She models the total value of the collection, in thousands of dollars, using the exponential function V(t) = 85(1.12)^t, where t is the number of years since she began tracking the collection in 2020. Interpret the meaning of the parameters 85 and 1.12 in the context of the watch collection's value. Then, determine the value of the collection after 5 years, rounding your answer to the nearest thousand dollars.

…and 4 more problems

1. Aroha is a conservation officer monitoring the recovery of a rare plant species in a national park. She models the number of plants using the exponential function P(t) = 55(1.07)^t, where t is the number of years since the conservation program began, and P(t) is the number of plants at time t. Interpret the meaning of the parameters 55 and 1.07 in the context of the plant population.
2. Mason is monitoring the value of a rare vintage guitar he purchased as an investment. The guitar's value in dollars after t years can be modeled by the exponential function V(t) = 2200(1.07)^t. Interpret the meaning of the parameters 2200 and 1.07 in the context of this investment, and then determine the value of the guitar after exactly 7 years, rounding to the nearest dollar.
3. Hana's investment grows according to the function V(t) = 2400(1.06)^t, where t is time in years. What does the number 2400 represent? What does the number 1.06 represent?

…and 4 more problems

1. Liam is studying the spread of information through social networks. He models the number of people who have seen a viral post using the function P(t) = 500 × 2^(0.3t), where t is the number of hours since the post was first shared. If Liam wants to know when exactly 4,000 people will have seen the post, what equation should he solve and what is the solution for t?
2. Noah is a financial analyst tracking the value of a rare vintage car collection. The total value of the collection, in thousands of dollars, is modeled by the exponential function V(t) = 280(1.09)^t, where t is the number of years since the collection was first appraised. Interpret the meaning of the parameters 280 and 1.09 in the context of this situation. Then, determine the value of the collection after 8 years, rounding your answer to the nearest thousand dollars.
3. Mere's bacterial culture grows according to P(t) = 3200(1.18)^t, where t is time in hours. What does the number 3200 represent? What does the number 1.18 represent?

…and 4 more problems