Question

Georgie joins a gym. She pays $25 to sign up and then $15 each month. Graph it. Label the y-intercept,the slope, and your axes. Use your graph to find a solution. Label it. Write your answer as a sentence.

Answer 1

The first thing you should do for this case is to find the equation of the line that best suits the problem and then plot it.
 Let
 x: number of months
 y: amount paid.
 The equation of the line is
 y = 15x + 25
 y-intercept = 25
 the slope = 15
 answer
 Georgie pays (y axis) $ 15 dollars (the spole) monthly (x-axis) in the gym with a $ 25 registration (y-intercept)

Answer 2

Answer:

$y= mx +b$

Where:

Y (dependent variable)  Total amount paid

X (independent variable) The months

m = 15 represent the slope

b = 25 the intercept

So then our model would be given by:

$y = 15 x+25$

And the graph attached illustrate the graph for the problem

For this case we can interpret the 25 as a fixed cost and the 15x represent the vriable cost dependeing in the number of months after the start at the gym

Step-by-step explanation:

For this case we want to create a linear model given by this general expression:

$y= mx +b$

Where:

Y (dependent variable)  Total amount paid

X (independent variable) The months

m = 15 represent the slope

b = 25 the intercept

So then our model would be given by:

$y = 15 x+25$

And the graph attached illustrate the graph for the problem

For this case we can interpret the 25 as a fixed cost and the 15x represent the vriable cost dependeing in the number of months after the start at the gym