Answer:
g(x) = 30
Step-by-step explanation:
Let the function representing line in graph 2 is,
g(x) = mx + b
Here m = slope of the line
b = y-intercept
Since the given line passes through origin (0, 0), y-intercept of the function will be 0.
Slope of the line =
=
= 5
Therefore, function will be g(x) = 5x
For x = 6,
g(6) = 30
This function represents that height of liquid in the cylinder is directly proportional to the amount of liquid poured in the cylinder.
Answer:
Equation of the line that passes through the given point and is (a) parallel is:
Equation of the line that passes through the given point and is (b) perpendicular is:
Step-by-step explanation:
We need to Write an equation of the line that passes through the given point and is (a) parallel and (b) perpendicular to the given line.
First we will find slope of the line given in graph
The slope can be found using formula:
We have points (1,6) and (2,2)
Slope is:
Part a)
Write an equation of the line that passes through the given point and is (a) parallel
When the lines are parallel, they have same slope. So, slope of required line: m = -2
Using slope m =-2 and point(4,3) we can find y-intercept b
The equation of line will be:
Equation of the line that passes through the given point and is (a) parallel is:
Part b)
Write an equation of the line that passes through the given point and is (b) perpendicular
When the lines are perpendicular they have opposite slope. So, slope of required line: m = 1/2
Using slope m =1/2 and point(4,3) we can find y-intercept b
The equation of line will be:
Equation of the line that passes through the given point and is (b) perpendicular is:
Answer:
$541.67 per month
Step-by-step explanation:
Tuition and other expenses = $8,250 per semester.
There are two semesters in a year
She has 4 years to spend
Total semester=4years*2semesters
=8 semesters
4 years in college which is a total of 8 semesters.
Total Tuition and other expenses = $8,250 * 8
= $66,000
She needs a total of $66,00 to complete her college
Assistance from parents=$15,000
Financial aid(per semester)=$4750
Total financial aid=$38,000
Total assistance=
Assistance from parents+ financial aid
=$15000+$38,000
=$53,000
Total savings=Total amount needed - Total assistance
=$66,000 - $53,000
=$13,000
She needs to save $13,000 in two years
There are 12 months in one year
2 years=2*12=24 months
Monthly savings=Total savings/24 months
=$13,000/24
=$541.666666
To the nearest cent
=$541.67
