PLEASE HELP
The scatter plot shows the time spent studying, x, and the midterm score, y, for each of 24 students.
Time spent studying (in hours)
Use the equation of the line of best fit, y=3.74x+17.04, to answer the questions below.
Give exact answers, not rounded approximations.
(a) For an increase of one hour in the time spent studying,
what is the predicted increase in the midterm score?
E
(b) What is the predicted midterm score for a student who
doesn't spend any time studying?
(c) What is the predicted midterm score for a student who
studies for 12 hours?

A)3.74

B)17.04

C)61.92

Step-by-step explanation:

The equation of the line of best fit:

Where x is time in hours

y = midterm score

a)For an increase of one hour in the time spent studying,  what is the predicted increase in the midterm score?

General equation y = mx+c

where m is the slope .

On comparing m = 3.74

Slope is the rate of increase per hour

So, For an increase of one hour in the time spent studying,  the predicted increase in the midterm score is 3.74

b)What is the predicted midterm score for a student who  doesn't spend any time studying?

Substitute x = 0

y=3.74x+17.04

y=3.74(0)+17.04

y=17.04

c)What is the predicted midterm score for a student who  studies for 12 hours?

Substitute x = 12

So,y=3.74x+17.04

y=3.74(12)+17.04

y=61.92

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204