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Use the table to write an expression to represent the cost per lesson. Let x = number of lessons. (1 point)

Number of Lessons Total Cost ($)

0 10

2 50

4 90

6 130

2. There is a one-time art supply fee when she first signs up for lessons. In the Table of Values, circle the row that represent this. How much is the art supply fee? (1 point)
3. Write a linear equation, in slope-intercept form, that models the total cost of drawing lessons. Let x = number of lessons(1 point)
4. Graph the linear equation that models the situation. Clearly identify the y-intercept and one other point. (3 points)
5. How much will 3 lessons cost? Show on the graph and algebraically. (2 points)
6. Marlowe only has $100 to spend on drawing lessons. How many lessons will she be able to take? Show on the graph and algebraically. (2 points)

Use the table to write an expression to represent the cost per lesson Let x number of lessons 1 point Number of Lessons Total Cost 0 102 504 906 1302 There is a class=

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4 90 correct answer

The cost of 3 lessons is $70.

Cost $100 lesson is 4.5.

Linear system

It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.

Given

Number of Lessons                  Total Cost ($)

             0                                         10

             2                                         50

             4                                         90

             6                                        130

Let the number of lessons be x,

And the Total cost is y.

We know the equation of the line is y = mx + c

Then slope (m) will be

[tex]\rm m = \dfrac{y_2-y_1}{x_2-x_1}\\\\m = \dfrac{50-10}{2-0}\\\\m = 20[/tex]

And line is passing through the point (0, 10)

10 = 20(0) + c

 c = 10

Then the line is y = 20x + 10

Cost of 3 lesson will be,

for x = 3,

y = 20(3) + 10

y = 70

Cost of 3 lesson is $70.

For $100 cost lesson will be

y = 100

100 = 20x + 10

90 = 20x

   x = 4.5

For cost $100 lesson is 4.5.

Graph is shown below.

More about the linear system link is given below.

https://brainly.com/question/20379472

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