Part 1. Graph this function in an appropriate window. Make sure to label axes, scale, and all important features of the graph.   (I think that this is going to be agraph that goes from the bottom right to the upper left, correct?)   Part 2. Determine W inverse -1 = (28). What does this mean in the given context?

The length of a stalactite (in mm) has been measured at the beginning of every fourth year since the year 2000. The data through 2016 is shown below, where t is in years after the beginning of the year 2000. t Length (mm) 0 88 с Use the data to construct a scatter plot, then complete the following. 1) Which of the following best describes the pattern? O A. Linear (y = mx + b) O B. Logistic y= (y= OC. Exponential (y = a.b*) ₂-bx 4 93 1 + ae 8 99 2) Using your calculator and the best of the four methods above, find a model, L(t), that estimates the length of the stalactite t years after 2000. ROUND TO TWO DECIMAL PLACES. L(t) = 3) Use your rounded answer from part 2 to complete the following. ROUND TO TWO DECIMAL PLACES. Acording to the model, at the beginning of the year 2007, the stalactite was approximately mm long, and it was growing at a rate of approximately 12 103 mm per year. 16 108

QUESTION 7 Read the situation below and determine whether it is linear or exponential. If linear, find and interpret the rate of change. If exponential, find and interpret the percent change. Approximate if needed. The common ratio for the home prices in an Austin neighborhood is 1.08 every year for the past five years. For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). B IUS Paragraph Arial V 10pt ✓ ✓ A✔ AV T X Q 5 è E

Sunlight is absorbed in water, and as a result the light intensity in oceans, lakes, and ponds decreases exponentially with depth. The percentage of visible light -kx P (in decimal form) at a depth of x meters is given by P=e, where k is a constant related to the clarity and other physical properties of the water. The graph shows models for the open ocean, Lake Tahoe, and Lake Erie for data taken under similar conditions. Percent 0.8- 0.2- Percent of Surface Light vs. Depth -0.0491 x Ocean: P = e Tahoe: P = e -0.0799 x Depth (m) Erie: P = e -0.1980 x The euphotic depth for the open ocean is The euphotic depth is the depth at which light intensity falls to 1% of the value at the surface. This depth is of interest to scientists because no appreciable photosynthesis takes place. Find the euphotic depth for the open ocean. Round to the nearest tenth of a meter. meters. X