A music school charges a registration fee in addition to a fee per lesson. Music lessons last 0.5 hour. The equation y = 40x + 30 represents the total cost y of x lessons. Find and interpret the slope and y-intercept of the line that represents this situation. Then find four points on the line.

Answers

Answer 1

Answer: y=mx+b M is the slope.Therefore, 40 is slope.

To find Y intercept, you substitute X for 0
So it becomes, y=40(0)+30
Solve it, y=0+30
y=30
If Y=30 x=0
Y intercept is (0,30)
x y
To find four points, you use the slope.

Answer 2

Answer:

Final answer:

The slope of the line in the provided equation represents the cost of each music lesson, while the y-intercept represents the registration fee. These two components are used to calculate the total cost of taking 'x' number of music lessons. Examples of four points on this line include: (0,30), (1,70), (2,110) and (3,150).

Explanation:

In the equation y = 40x + 30, 'y' represents the total cost of music lessons, 'x' represents the number of lessons, 40 is the slope, and 30 is the y-intercept.

The slope, 40, means that each music lesson costs $40. This is a constant rate and doesn't change no matter how many lessons a student takes.

The y-intercept, 30, represents the registration fee that is charged in addition to the cost per lesson. This is a one-time fee that's added to the total cost of the lessons.

For example, four points on the line could be (0,30) when no classes are taken, (1,70) for one class, (2,110) for two classes, and (3,150) for three classes.

Learn more about Slope and Y-Intercept here:

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5 times the sum of 12 and a number is 80
What is the value of the unknown number

Answers

Answer:

Step-by-step explanation:

5(12+x)=80 Create equation. x is the unknown number.

60+5x=80 Distributive property.

5x=20 Isolate variable.

x=4 Divide on both sides by the coefficient.

Find (2x^2+2)+(x^2-4)-(3x^2+1)
Answers
3x^2-1
6x^2-3
-3
6x^2

Answers

Answer:

-3

Step-by-step explanation:

(2x^2+2)+(x^2-4)-(3x^2+1)

Distribute the minus sign

(2x^2+2)+(x^2-4)-3x^2-1

Combine like terms

2x^2+x^2-3x^2-1+2-4

0x^2 -3

-3

Answer:

the answer is -3

Step-by-step explanation:

I took the test

What is the answer?please help me

Answers

Seems the question asks you to find the speed, rate or velocity of something.

As we know, rate means "how much we can do in given time?"
So, Rate = Base work/Time taken

For speed, the base work to move some distance. So, for 125ft in 5 s = 125/5 ft/s = 25 ft/s

And 12m in 28 s = 12/28 m/s = 0.428 m/s

Brianna measured the length of her room as 2.4 meters. How is this length expressed in centimeters?