Question

Please help with this

Answer 1

The monthly fee is
`\boxed{\$\;3.00}` and the yearly fee is
`\boxed{\$\;12.00}`

Explanation:

The graph is a straight line whose equation can be represented in general terms as

y = mx + b

m = slope which is the rate of change of y with respect to x
b = y-intercept which is the value of y when x = 0; also the y-value where the line crosses the y-axis

To find m:

• Take any two points on the line
  Let's choose (1, 15) and 6, 30)
• Find the difference in y values. This is called the rise
  rise = 30 - 15 = 15
• Find the corresponding difference in x values. This is called the run
  run = 6 - 1 = 5
• Divide the rise by run to get the slope
  Slope m = rise/run = 15/5 = 3
• So, for starters we can state that
  y = 3x + b

To find b:

• Take any point on the line, note its x and y values
  Let's take point(2, 18)
• Substitute y and x values in y = 3x + b
  18 = 3 x 2 + b
  18 = 6 + b
  6 + b = 18 (switching sides)
  b = 18-6 (subtract 6 both sides)
  b = 12

So the equation of the line is
y = 3x + 12

In this context 3 represents the monthly fee since for 1 month, the cost goes up by $3

The constant 12 represents the yearly cost of membership which is the amount incurred regardless of how long you are with the music group

Answers
Monthly fee: $3
Yearly fee = $12

Answer 2

If I go by what you have answered to the fee included a yearly rate would be $72 and monthly cost including the fee would be $16 a month. Hope this helps. This is what my calculations are.