Based on data from a local college, a statistician...

Based on data from a local college, a statistician determined that the average student's grade point average $(\mathrm{GPA})$ at this college is a function of the number of hours, $h,$ he or she studies each weck. The grade point average can be estimated by the function $\mathrm{G}(h)=0.006 h^{2}+0.02 h+1.2$ for $0 \leq h \leq 20$ . a. To the nearest tenth, what is the average GPA of a student who does no studying? b. To the nearest tenth, what is the average GPA of a student who studies 12 hours per week? c. To the nearest tenth, how many hours of studying are required for the average student to achieve a 3.2 GPA?

Transcript

00:02 Okay, so we have g of h equals 0 .006h squared plus 0 .02h plus 1 .2h plus 1 .2.

00:17 So for part a, they wanted to know what the gpa would be if you studied for no hours.

00:23 So all that means is we're going to plug in 0 for h .0 .2 times 0 plus .0 .2.

00:33 1 .2.

00:34 So 0 times anything is 0 .0 times anything is 0 plus 1 .2.

00:41 So if you studied no hours according to this function, your gpa would be a 1 .2.

00:50 Part b, we're going to use the same equation.

00:54 They wanted to know what your gpa would be if you studied for 12 hours.

01:00 So we're going to do the same thing.

01:02 We're going to do 0 .006.

01:04 But this time you're actually plugging in a number that's going to result in a little bit higher gpa plus 1 .2.

01:12 So when i do 0 .06 times 12 squared in the calculator, you're going to get 0 .864.

01:20 0 .02 times 12 is 0 .24 plus 1 .2 .2, plus 1 .2 .2.

01:28 That's going to give us 1 .104 plus 1 .2.

01:36 And when you put that in the calculator, that's going to give us a gpa of about 2 .304.

01:41 So if you study for about 12 hours, that gives your gpa of about 2 .304.

01:49 So then c is a little bit different.

01:52 C wants to know how many hours it would take for you to get a gpa of 3 .2.

01:59 So that you're going to have to do a little bit more work and go backwards.

02:03 So in this case, you're going to need to set 3 .2 equal to your equation of 0 .006h squared plus 0 .02h plus 1 .2...

Question

Please give Ace some feedback