Please help me answer these precalculus Logarithmic Equations

questions and explain each step.

Thank youu

Students in a fifth-grade class were given an exam. During the next 2 years, the same students were retested several times. The average score was given by the model lf(t) = 91 1010g(t + 1), 0 S t g 24 where t is the time in months. Round answers to 1 decimal place. (a) What is the average score on the original exam? (b) What was the average score after 6 months? (c) After how many months does the average score drop below 82? months The water velocity at any point in a stream or river is related to the logarithm of the depth at that point. For the Hoback River near Bondurant, Wyoming, 11 = 2.58 -l- 1.05 logd where v is the velocity of the water, in feet per second, and dis the vertical distance from the stream bed, in feet, at that point. For Pole Creek near Pinedale, Wyoming, 11 = 1.87 + 0.65 logd Both streams are 1.2 feet deep at the locations mentioned. a. If you double the distance from the bed, by how much does the velocity increase in each stream? Round to 2 decimal places. Hoback: feet per second Pole Creek: feet per second b. The average velocity of the entire stream can be closely approximated as follows: Measure the velocity at 20% of the total depth of the stream from the surface and at 80% of the total depth, then average these two values. Find the average velocity for the Hoback River and for Pole Creek. Round to 2 decimal places. Hoback: feet per second Pole Creek: feet per second