A horticulturist conducted an experiment on 110 thirty-six inch plant boxes to see if the amount of plant food given to the plan
t boxes was associated with the number of tomatoes harvested from the plants. The mean amount of plant food given was 27.8 milliliters with a standard deviation of 2.1 milliliters. The mean number of tomatoes harvested was 7.5 with a standard deviation of 1.5. The correlation coefficient was 0.7691. Use the information given to calculate the slope of the linear model that predicts the number of tomatoes harvested from the amount of plant food given. Round to the nearest hundredth.
Well, first we have to plug in g(x) into f(x). This gets us f(g(x)) = 2(3x + 1) + 1. Then, we simply distribute and add the 1. This gets us an answer of f(g(x)) = 6x + 3.