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You have 8 cups of flour. It takes 1 cup of flour to make 24 cookies. The function c(f) = 24f represents the number of cookies, c, that can be made with f cups of flour. What domain and range are reasonable for the function? What is the graph of the function?

You have 8 cups of flour. It takes 1 cup of flour to make 24 cookies. The function-example-1

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Final answer:

The function c(f) = 24f represents the number of cookies made with f cups of flour. The domain is {0, 1, ..., 8} and the range is {0, 24, ..., 192}. The graph is a line passing through the origin with a slope of 24.

Step-by-step explanation:

The function c(f) = 24f represents the number of cookies, c, that can be made with f cups of flour.

Given you have 8 cups of flour, a reasonable domain for the function would be all non-negative integers up to 8

since you cannot have a negative amount of flour and you are limited to the 8 cups available.

Hence, the domain is {0, 1, 2, 3, 4, 5, 6, 7, 8}.

The range of the function would be multiples of 24 from 0 to 192

since these are the possible numbers of cookies you can make: {0, 24, 48, 72, 96, 120, 144, 168, 192}.

The graph of this function is a straight line that passes through the origin (0,0) and has points (1,24), (2,48), ..., (8,192), because for each cup of flour, you make 24 cookies.

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