The change in the graph is the y-intercept would remain the same but the slope would increase.
What is a graph?
⇒ The link between lines and points is described by the mathematical network model known as a graph. A graph is made up of some points and connecting lines. It doesn't matter how long the lines are or where the points are located. A node is a name for each element in a graph.
What is the slope of a graph?
⇒ A line's steepness can be determined by looking at its slope. The slope is calculated mathematically as "rise over run" (change in y divided by change in x).
Calculation:
An initial $24.00 membership fee is required to join the music club. Each CD costs $8.50.The graph shows the cost of belonging to the club as a function of CDs purchased.
The number of CD is listed on the x-axis of the graph, while the total cost is listed on the y-axis.
⇒ This equation is: y = 8.50x + 24.
We will now raise the price of the CD by $1.00.
The total fee would then rise as well.
Then, the slope would rise but the y-intercept would stay the same.
⇒ The revised formula is y = 9.50x + 24.
Hence, The change in the graph is the y-intercept would remain the same but the slope would increase.
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Question: A music club charges an initial joining fee of $24.00. The cost per CD is $8.50. The graph shows the cost of belonging to the club as a function of CDs purchased. How will the graph change if the cost per CD goes up by $1.00?
