14 Which function has a constant rate of change equal to -32 2) (1,5),(2,2),(3,-5),(4,4) 15 Given the functions g(x),f(x) and h(x) shown below: g(x)=x^2-2x The correct list of functions ordered from greatest to least by average rate of change over the inter 1) f(x),g(x),h(x) g(x),f(x),h(x) 2) h(x),g(x),f(x) 4) h(x),f(x),g(x) A population of rabbit.in a lab, p(x) can be modeled by the function p(x)=20(1.014)^x , where x number of days since the population was first counted. Explain what 20 and 1 .014 represent in tl problem. Determine , to the nearest tenth , the average rate of change from day 50 to day 100.

To find the function with a constant rate of change equal to -3, we need to look for a linear function with a slope of -3. The slope of a linear function is the constant rate of change.Let's analyze each option:1) The table shows the following points: (0, 2), (1, 5), (2, 8), (3, 11). To check if the rate of change is constant and equal to -3, we can calculate the differences in y-values and x-values between consecutive points:For (0, 2) to (1, 5):Change in y = 5 - 2 = 3Change in x = 1 - 0 = 1Rate of change = Change in y / Change in x = 3 / 1 = 3This is not a constant rate of change of -3, so option 1 is not the correct answer.2) The set of points given is: (1, 5), (2, 2), (3, -5), (4, 4). The rate of change between each pair of points is not consistent, and none of them have a rate of change of -3. Therefore, option 2 is not the correct answer.3) There is no function provided for option 3, so we cannot analyze it.4) The equation given is . To find the slope, we can rearrange the equation into slope-intercept form (y = mx + b), where m is the slope: Divide both sides by 2: The slope of this function is -3, which means the rate of change is constant and equal to -3. Therefore, option 4 is the correct answer.Answer: 4)