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The function graphed shows the total cost of a gym membership for x months. Select from the drop-down menus to correctly identify the gym membership information provided by the graph. The slope is . The slope represents . The y-intercept is . The y-intercept represents . A line graph showing Cost of membership (Dollars) on the vertical axis and Number of months on the horizontal axis. The horizontal x axis ranges from 0 to 12 in increments of 1. The vertical y axis ranges from 0 to 140 in increments of 10. The points begin ordered pair 0 comma 15 end ordered pair and begin ordered pair 12 comma 135 end ordered pair.

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nobillionaireNobley
The slope is (135 - 15)/(12 - 0) = 120/12 = 10
The slope represents the average monthly cost of gym membership.

The y-intercept is the value of y when x = 0, y-intercept = 15.
The y-intercept represent the the initial membership cost.

The correct answers are:


The slope is 10.

The slope represents the cost of gym membership per month.

The y-intercept is 15.

The y-intercept represents the cost of gym membership on the first day of attendance.


Explanation:


The points we are given are (0, 15) and (12, 135).


We will find the slope first, using the formula:

[tex] m=\frac{y_2-y_1}{x_2-x_1} [/tex]


Plugging in our values from our ordered pairs, we have:

[tex] m=\frac{135-15}{12-0}=\frac{120}{12}=10 [/tex]


The slope is 10.


The graph shows us the cost along the y-axis and the number of months along the x-axis. This means it costs $10 for every 1 month of gym membership.


The y-intercept is the point where the data crosses the y-axis. Our graph goes through (0, 15); this point lies on the y-axis, so this is our y-intercept.


The y-intercept shows us the cost at 0 months; it costs $15 to begin a gym membership before the 1st month.

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