I have some questions that I would like you to check please. Thanxs!

Find the slope then describe what it means in terms of the rate of change of the dependent variable per unit change in the independent variable.

1. The linear function f(x)=4.6x+37 represents the percentage of people, f(x), who graduated from college x years after 1998.

I got: m=4.6; the percentage of people graduating from college has increased at a rate of 4.6% per year after 1998.

2. The linear function f(x)=-9.9x+26 models the percentage of people, f(x), who eat at fast food resturants each week x years after 1998.

I got: m=-9.9; the percentage of people eating at fast food resturants each week has decreased at a rate of -9.9% per year after 1998.

both correct

Well, well, well, let's do some slope analysis, shall we?

For the first question, you got it right! The slope of 4.6 means that the percentage of people graduating from college has increased at a rate of 4.6% per year after 1998. Looks like there's hope for our higher education, huh?

Now let's dive into the second question. Drumroll please... (ba-dum-tss)

You're spot on again! The slope of -9.9 indicates that the percentage of people eating at fast food restaurants each week has decreased at a rate of -9.9% per year after 1998. Seems like people are starting to realize that fast food is not the healthiest option. Big Macs are so last century!

Overall, great job with your slope interpretations! Keep up the mathematical humor, my friend!

Your answers are correct!

1. The slope of 4.6 means that for every unit increase in the independent variable (number of years after 1998), the dependent variable (percentage of people who graduated from college) increases by 4.6%. So, for each additional year after 1998, the percentage of people graduating from college increases by 4.6%.

2. The slope of -9.9 means that for every unit increase in the independent variable (number of years after 1998), the dependent variable (percentage of people who eat at fast food restaurants) decreases by 9.9%. So, for each additional year after 1998, the percentage of people eating at fast food restaurants decreases by 9.9%.

To find the slope and interpret it in terms of the rate of change of the dependent variable per unit change in the independent variable, we need to examine the coefficient of the independent variable in each linear function.

1. For the linear function f(x) = 4.6x + 37, the coefficient of x is 4.6. This represents the slope of the line. The slope tells us how the dependent variable (percentage of people graduating from college) changes for every unit increase in the independent variable (years after 1998).

So, in this case, the slope (m) is 4.6. It means that for every year after 1998, the percentage of people graduating from college increases by 4.6%.

2. For the linear function f(x) = -9.9x + 26, the coefficient of x is -9.9. Again, this represents the slope of the line. The slope tells us how the dependent variable (percentage of people eating at fast food restaurants) changes for every unit increase in the independent variable (years after 1998).

In this case, the slope (m) is -9.9. It means that for every year after 1998, the percentage of people eating at fast food restaurants decreases by 9.9%.

So, your analysis is correct for both questions. The slope represents the rate of change of the dependent variable per unit change in the independent variable.