Question

Write a function in function notation for Charles' babysitting situation.

a) f (x) = 4x + 7
b) f (x) = 7x
c) f (x ) = x + 7
d) f (x) = 4 + 7x

Answer 1

The correct function notation for Charles' babysitting situation is f(x) = 4 + 7x.

Step-by-step explanation:

The correct answer is f (x) = 4 + 7x (option d).

The function notation f(x) represents a function that takes an input value x and returns an output value f(x). In this case, the function is representing Charles' babysitting situation. The equation f(x) = 4 + 7x represents the total fee earned by Charles for babysitting x number of hours.

For example, if Charles babysits for 3 hours, the fee earned can be calculated by substituting x = 3 into the equation f(x) = 4 + 7x:

f(3) = 4 + 7(3) = 4 + 21 = 25

Therefore, the fee earned by Charles for babysitting 3 hours is $25.