The student's question requires comparing the values of two functions, c(5) and d(5), to determine which is lesser when the input is five. This comparison helps in evaluating which of the two represented plans is more advantageous at that specific input level. It involves calculating the output for each function with an input of 5 and comparing the results.
The question appears to be asking to compare two functions, c(5) and d(5), when evaluated for the input of 5, to determine which function yields a lesser value at that specific point. In mathematical terms, this is asking which of the two function values is smaller when the input, or 'x' value, is 5.
Suppose c(x) and d(x) are functions that represent two different plans, perhaps for pricing or some kind of output that varies depending on the input. To compare c(5) to d(5), you simply calculate each function with an input of 5. The one with the lower resulting value is the lesser one. This comparison allows you to determine which plan is more beneficial or less costly at an input level of 5.
For example:
If c(x) = 2x + 3, then c(5) = 2(5) + 3 = 13.
If d(x) = x + 4, then d(5) = 5 + 4 = 9.
In this case, d(5) is less than c(5), so plan 'd' would be considered better or cheaper in terms of value at an input of 5.