A supply store sells black oil sunflower seed using the following pricing: • The first 5 pounds costs $1.25 per pound • The next 10 pounds costs $1.10 per pound • The next 10 pounds costs $1.00 per pound • Any seed past the first 25 pounds costs $0.75 per pound what would the piecewise function C(x) for the cost of buying x pounds of black oil sunflower seed?

Step-by-step explanation:

Let x represent the number of pounds of sunflower seed

Let Cₙ (x) represent the cost of buying x pound in the given interval n

Such that

Let find different pieces and their conditions.

For 1 to 5 pound, the rate is 1.25/pound

Which means total cost is 1.25x when x lies is from 1 to 5. Hence

C₁(x) = 1.25x    if  0 < x ≤ 5

For greater than 5 to 15 pound, the rate is 1.10/pound

Which means total cost is 1.10x when x lies is from greater than 5 to 15. Hence

C₂(x) = 1.10x    if  5 < x ≤ 15

For greater than 15 to 25 pound, the rate is 1.00/pound

Which means total cost is 1.00x when x lies is from greater than 15 to 25. Hence

C₃(x) = 1.00x    if  15 < x ≤ 25

For greater 25 pound, the rate is 0.75/pound

Which means total cost is 0.75x when x lies is from greater than 25. Hence

C₄(x) = 0.75x    if  x>25

Combine all to write the piecewise function

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,