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Vedmedyk [2.9K]
3 years ago
8

A book club charges an initial joining fee of $18.00. The cost per book is $10.25. The graph shows the cost of belonging to the

club as a function of books purchased. How will the graph change if the joining fee goes up by $3.00?

Mathematics
1 answer:
Alex73 [517]3 years ago
7 0

<em>The question doesn't show any graph, but I have included it to help you with the problem.</em>

Answer:

<em>The new graph will be shifted up by 3 units</em>

Step-by-step explanation:

<u>Graph of a Real Function</u>

The total cost of belonging to the book club depends on one fixed cost, the initial joining fee, and a variable cost, depending on the number of books purchased. Call C the total cost and x the number of purchased books, then

C=18+10.25x

By giving x some values, we get the corresponding values of C and then we can plot the graph as a blue line, in the image provided below.

If the joining fee goes up by $3, the new function is

C'=18+10.25x+3

C'=21+10.25x

The graph is also shown in the image, but with a red line. We can see the graph is shifted up by 3 units in the y-axis, but the slope remains the same, as the cost per book hasn't changed

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