Question

Daniella hopes to sell a cake per day for the next 30 days to save money for her trip to the Bahamas. She plan to sell each cake for $10, let f(x) = 10x represent the money she makes from selling the cakes and x be the number of cakes she sold. What is the domain of the function? What is the range of the function?

Answer 1

The domain of Daniella's cake selling function is the set of integers from 0 to 30, and the range is the set of values from 0 to 300, in increments of 10.

Step-by-step explanation:

The student is asking about the domain and range of a linear function that represents money made from selling cakes. If Daniella plans to sell a cake per day for 30 days, the domain of the function f(x) = 10x would be the set of integers from 0 to 30 since she cannot sell a negative number of cakes and aims to sell no more than one cake per day for each of the 30 days. The range would then be the set of values that the function f(x) can take, which, when the domain is {0, 1, 2, ..., 30}, would be {0, 10, 20, ..., 300}. Each value in the range is obtained by multiplying elements of the domain by 10, reflecting the money made from selling 0 to 30 cakes at $10 each.