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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

User Pnklein
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2 Answers

3 votes

Answer:

step function

Explanation:

edg 2023

User Bxx
by
6.4k points
6 votes

Answer:

The correct option is;

Step function

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.

User Kamal Reddy
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6.3k points