Question

Identify the type of function that models the situation below: The cost of mailing a letter is $0.37 for the first ounce and $0.23 for each additional ounce or portion thereof. a. greatest integer function c. absolute value function b. step function

Answer 1

Answer:

The correct option is;

Step function

Step-by-step explanation:

The given information are;

The cost of mailing a letter for the first ounce= $0.37

The cost for each additional ounce = $0.23

Therefore, the cost of mailing a letter can be found from the relation;

y = (N-1) × $0.23 + $0.37

The step function can be represented as follows;

f(x) = a[b(x - h)] + k

Where;

(h. k) = The starting points

a = The vertical step separation

b = The horizontal step separation

Therefore, in the question, we have;

a = $0.23

b  = 1

h = 1

k = $0.37

Which gives;

f(x) = $0.23 × [1(x - 1)] + $0.37 = $0.23 × (x - 1) + $0.37

f(x) = $0.23 × (x - 1) + $0.37 which is similar to y = (N-1) × $0.23 + $0.37

Therefore the function that models the situation is step function.